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Finding the Fourth Proportional to 486,356.40, 729,097.20 and 317,957.40

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Solution

The fourth proportional to 486,356.40, 729,097.20 and 317,957.40 is: 476,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,356.40 : 729,097.20 = 317,957.40 : x
  2. Step 2: Convert to fraction form
    486,356.40/729,097.20 = 317,957.40/x
  3. Step 3: Cross multiply
    486,356.40x = 729,097.20 × 317,957.40
  4. Step 4: Simplify right side
    486,356.40x = 231,821,850,059.28
  5. Step 5: Solve for x
    x = 231,821,850,059.28/486,356.40
  6. Step 6: Final answer
    x = 476,650.15

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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.