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Finding the Fourth Proportional to 268,859.80, 402,845.92 and 156,223.83

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Solution

The fourth proportional to 268,859.80, 402,845.92 and 156,223.83 is: 234,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,859.80 : 402,845.92 = 156,223.83 : x
  2. Step 2: Convert to fraction form
    268,859.80/402,845.92 = 156,223.83/x
  3. Step 3: Cross multiply
    268,859.80x = 402,845.92 × 156,223.83
  4. Step 4: Simplify right side
    268,859.80x = 62,934,132,131.71
  5. Step 5: Solve for x
    x = 62,934,132,131.71/268,859.80
  6. Step 6: Final answer
    x = 234,077.88

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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.