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Finding the Fourth Proportional to 338,950.92, 508,429.40 and 86,231.76

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Solution

The fourth proportional to 338,950.92, 508,429.40 and 86,231.76 is: 129,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,950.92 : 508,429.40 = 86,231.76 : x
  2. Step 2: Convert to fraction form
    338,950.92/508,429.40 = 86,231.76/x
  3. Step 3: Cross multiply
    338,950.92x = 508,429.40 × 86,231.76
  4. Step 4: Simplify right side
    338,950.92x = 43,842,761,997.74
  5. Step 5: Solve for x
    x = 43,842,761,997.74/338,950.92
  6. Step 6: Final answer
    x = 129,348.41

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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.