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Finding the Fourth Proportional to 463,354.60, 639,447.78 and 284,564.20

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Solution

The fourth proportional to 463,354.60, 639,447.78 and 284,564.20 is: 392,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,354.60 : 639,447.78 = 284,564.20 : x
  2. Step 2: Convert to fraction form
    463,354.60/639,447.78 = 284,564.20/x
  3. Step 3: Cross multiply
    463,354.60x = 639,447.78 × 284,564.20
  4. Step 4: Simplify right side
    463,354.60x = 181,963,945,957.48
  5. Step 5: Solve for x
    x = 181,963,945,957.48/463,354.60
  6. Step 6: Final answer
    x = 392,709.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.