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Finding the Fourth Proportional to 648,142.70, 972,214.05 and 448,688.30

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Solution

The fourth proportional to 648,142.70, 972,214.05 and 448,688.30 is: 673,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,142.70 : 972,214.05 = 448,688.30 : x
  2. Step 2: Convert to fraction form
    648,142.70/972,214.05 = 448,688.30/x
  3. Step 3: Cross multiply
    648,142.70x = 972,214.05 × 448,688.30
  4. Step 4: Simplify right side
    648,142.70x = 436,221,069,330.62
  5. Step 5: Solve for x
    x = 436,221,069,330.62/648,142.70
  6. Step 6: Final answer
    x = 673,032.45

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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.