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Finding the Fourth Proportional to 438,033.78, 657,121.68 and 171,649.86

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Solution

The fourth proportional to 438,033.78, 657,121.68 and 171,649.86 is: 257,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,033.78 : 657,121.68 = 171,649.86 : x
  2. Step 2: Convert to fraction form
    438,033.78/657,121.68 = 171,649.86/x
  3. Step 3: Cross multiply
    438,033.78x = 657,121.68 × 171,649.86
  4. Step 4: Simplify right side
    438,033.78x = 112,794,844,374.97
  5. Step 5: Solve for x
    x = 112,794,844,374.97/438,033.78
  6. Step 6: Final answer
    x = 257,502.62

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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.