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Finding the Fourth Proportional to 438,042.60, 656,781.40 and 171,830.02

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Solution

The fourth proportional to 438,042.60, 656,781.40 and 171,830.02 is: 257,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,042.60 : 656,781.40 = 171,830.02 : x
  2. Step 2: Convert to fraction form
    438,042.60/656,781.40 = 171,830.02/x
  3. Step 3: Cross multiply
    438,042.60x = 656,781.40 × 171,830.02
  4. Step 4: Simplify right side
    438,042.60x = 112,854,761,097.63
  5. Step 5: Solve for x
    x = 112,854,761,097.63/438,042.60
  6. Step 6: Final answer
    x = 257,634.21

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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.