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Finding the Fourth Proportional to 484,565.73, 726,851.33 and 431,503.64

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Solution

The fourth proportional to 484,565.73, 726,851.33 and 431,503.64 is: 647,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,565.73 : 726,851.33 = 431,503.64 : x
  2. Step 2: Convert to fraction form
    484,565.73/726,851.33 = 431,503.64/x
  3. Step 3: Cross multiply
    484,565.73x = 726,851.33 × 431,503.64
  4. Step 4: Simplify right side
    484,565.73x = 313,638,988,842.07
  5. Step 5: Solve for x
    x = 313,638,988,842.07/484,565.73
  6. Step 6: Final answer
    x = 647,257.88

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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.