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Finding the Fourth Proportional to 338,957.94, 508,439.92 and 86,238.74

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Solution

The fourth proportional to 338,957.94, 508,439.92 and 86,238.74 is: 129,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,957.94 : 508,439.92 = 86,238.74 : x
  2. Step 2: Convert to fraction form
    338,957.94/508,439.92 = 86,238.74/x
  3. Step 3: Cross multiply
    338,957.94x = 508,439.92 × 86,238.74
  4. Step 4: Simplify right side
    338,957.94x = 43,847,218,066.50
  5. Step 5: Solve for x
    x = 43,847,218,066.50/338,957.94
  6. Step 6: Final answer
    x = 129,358.88

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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.