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Finding the Fourth Proportional to 238,414.86, 329,157 and 157,911.39

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Solution

The fourth proportional to 238,414.86, 329,157 and 157,911.39 is: 218,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,414.86 : 329,157 = 157,911.39 : x
  2. Step 2: Convert to fraction form
    238,414.86/329,157 = 157,911.39/x
  3. Step 3: Cross multiply
    238,414.86x = 329,157 × 157,911.39
  4. Step 4: Simplify right side
    238,414.86x = 51,977,639,398.23
  5. Step 5: Solve for x
    x = 51,977,639,398.23/238,414.86
  6. Step 6: Final answer
    x = 218,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.