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Finding the Fourth Proportional to 257,355.58, 385,877.54 and 115,174.38

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Solution

The fourth proportional to 257,355.58, 385,877.54 and 115,174.38 is: 172,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,355.58 : 385,877.54 = 115,174.38 : x
  2. Step 2: Convert to fraction form
    257,355.58/385,877.54 = 115,174.38/x
  3. Step 3: Cross multiply
    257,355.58x = 385,877.54 × 115,174.38
  4. Step 4: Simplify right side
    257,355.58x = 44,443,203,920.17
  5. Step 5: Solve for x
    x = 44,443,203,920.17/257,355.58
  6. Step 6: Final answer
    x = 172,691.82

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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.