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Finding the Fourth Proportional to 538,115.38, 807,182.79 and 138,764.50

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Solution

The fourth proportional to 538,115.38, 807,182.79 and 138,764.50 is: 208,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,115.38 : 807,182.79 = 138,764.50 : x
  2. Step 2: Convert to fraction form
    538,115.38/807,182.79 = 138,764.50/x
  3. Step 3: Cross multiply
    538,115.38x = 807,182.79 × 138,764.50
  4. Step 4: Simplify right side
    538,115.38x = 112,008,316,262.96
  5. Step 5: Solve for x
    x = 112,008,316,262.96/538,115.38
  6. Step 6: Final answer
    x = 208,149.26

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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.