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Finding the Fourth Proportional to 266,417.91, 399,367.13 and 106,446.15

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Solution

The fourth proportional to 266,417.91, 399,367.13 and 106,446.15 is: 159,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,417.91 : 399,367.13 = 106,446.15 : x
  2. Step 2: Convert to fraction form
    266,417.91/399,367.13 = 106,446.15/x
  3. Step 3: Cross multiply
    266,417.91x = 399,367.13 × 106,446.15
  4. Step 4: Simplify right side
    266,417.91x = 42,511,092,892.82
  5. Step 5: Solve for x
    x = 42,511,092,892.82/266,417.91
  6. Step 6: Final answer
    x = 159,565.45

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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.