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Finding the Fourth Proportional to 642,003.10, 963,004.65 and 310,227.10

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Solution

The fourth proportional to 642,003.10, 963,004.65 and 310,227.10 is: 465,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,003.10 : 963,004.65 = 310,227.10 : x
  2. Step 2: Convert to fraction form
    642,003.10/963,004.65 = 310,227.10/x
  3. Step 3: Cross multiply
    642,003.10x = 963,004.65 × 310,227.10
  4. Step 4: Simplify right side
    642,003.10x = 298,750,139,856.02
  5. Step 5: Solve for x
    x = 298,750,139,856.02/642,003.10
  6. Step 6: Final answer
    x = 465,340.65

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Half scale
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Double scale
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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.