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Finding the Fourth Proportional to 438,205.52, 657,308.30 and 105,781.52

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Solution

The fourth proportional to 438,205.52, 657,308.30 and 105,781.52 is: 158,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,205.52 : 657,308.30 = 105,781.52 : x
  2. Step 2: Convert to fraction form
    438,205.52/657,308.30 = 105,781.52/x
  3. Step 3: Cross multiply
    438,205.52x = 657,308.30 × 105,781.52
  4. Step 4: Simplify right side
    438,205.52x = 69,531,071,082.62
  5. Step 5: Solve for x
    x = 69,531,071,082.62/438,205.52
  6. Step 6: Final answer
    x = 158,672.28

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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.