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Finding the Fourth Proportional to 391,877.28, 539,830.80 and 284,130.72

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Solution

The fourth proportional to 391,877.28, 539,830.80 and 284,130.72 is: 391,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,877.28 : 539,830.80 = 284,130.72 : x
  2. Step 2: Convert to fraction form
    391,877.28/539,830.80 = 284,130.72/x
  3. Step 3: Cross multiply
    391,877.28x = 539,830.80 × 284,130.72
  4. Step 4: Simplify right side
    391,877.28x = 153,382,513,882.18
  5. Step 5: Solve for x
    x = 153,382,513,882.18/391,877.28
  6. Step 6: Final answer
    x = 391,404.46

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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.