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Finding the Fourth Proportional to 458,003.10, 687,004.65 and 339,905.10

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Solution

The fourth proportional to 458,003.10, 687,004.65 and 339,905.10 is: 509,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,003.10 : 687,004.65 = 339,905.10 : x
  2. Step 2: Convert to fraction form
    458,003.10/687,004.65 = 339,905.10/x
  3. Step 3: Cross multiply
    458,003.10x = 687,004.65 × 339,905.10
  4. Step 4: Simplify right side
    458,003.10x = 233,516,384,258.72
  5. Step 5: Solve for x
    x = 233,516,384,258.72/458,003.10
  6. Step 6: Final answer
    x = 509,857.65

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Half scale
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Double scale
Find fourth proportional to 458,004.10, 687,006.15 and 339,906.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.