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Finding the Fourth Proportional to 261,503.28, 392,387.40 and 119,332.80

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Solution

The fourth proportional to 261,503.28, 392,387.40 and 119,332.80 is: 179,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,503.28 : 392,387.40 = 119,332.80 : x
  2. Step 2: Convert to fraction form
    261,503.28/392,387.40 = 119,332.80/x
  3. Step 3: Cross multiply
    261,503.28x = 392,387.40 × 119,332.80
  4. Step 4: Simplify right side
    261,503.28x = 46,824,687,126.72
  5. Step 5: Solve for x
    x = 46,824,687,126.72/261,503.28
  6. Step 6: Final answer
    x = 179,059.66

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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.