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Finding the Fourth Proportional to 438,227.66, 657,439.95 and 138,726.20

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Solution

The fourth proportional to 438,227.66, 657,439.95 and 138,726.20 is: 208,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,227.66 : 657,439.95 = 138,726.20 : x
  2. Step 2: Convert to fraction form
    438,227.66/657,439.95 = 138,726.20/x
  3. Step 3: Cross multiply
    438,227.66x = 657,439.95 × 138,726.20
  4. Step 4: Simplify right side
    438,227.66x = 91,204,145,991.69
  5. Step 5: Solve for x
    x = 91,204,145,991.69/438,227.66
  6. Step 6: Final answer
    x = 208,120.47

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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.