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Finding the Fourth Proportional to 438,181.65, 657,177.71 and 138,686.58

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Solution

The fourth proportional to 438,181.65, 657,177.71 and 138,686.58 is: 207,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,181.65 : 657,177.71 = 138,686.58 : x
  2. Step 2: Convert to fraction form
    438,181.65/657,177.71 = 138,686.58/x
  3. Step 3: Cross multiply
    438,181.65x = 657,177.71 × 138,686.58
  4. Step 4: Simplify right side
    438,181.65x = 91,141,728,358.70
  5. Step 5: Solve for x
    x = 91,141,728,358.70/438,181.65
  6. Step 6: Final answer
    x = 207,999.87

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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.