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Finding the Fourth Proportional to 268,472.27, 402,456.90 and 90,854.93

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Solution

The fourth proportional to 268,472.27, 402,456.90 and 90,854.93 is: 136,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,472.27 : 402,456.90 = 90,854.93 : x
  2. Step 2: Convert to fraction form
    268,472.27/402,456.90 = 90,854.93/x
  3. Step 3: Cross multiply
    268,472.27x = 402,456.90 × 90,854.93
  4. Step 4: Simplify right side
    268,472.27x = 36,565,193,477.52
  5. Step 5: Solve for x
    x = 36,565,193,477.52/268,472.27
  6. Step 6: Final answer
    x = 136,197.28

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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.