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Finding the Fourth Proportional to 257,272.38, 354,916.32 and 166,658.90

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Solution

The fourth proportional to 257,272.38, 354,916.32 and 166,658.90 is: 229,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,272.38 : 354,916.32 = 166,658.90 : x
  2. Step 2: Convert to fraction form
    257,272.38/354,916.32 = 166,658.90/x
  3. Step 3: Cross multiply
    257,272.38x = 354,916.32 × 166,658.90
  4. Step 4: Simplify right side
    257,272.38x = 59,149,961,083.70
  5. Step 5: Solve for x
    x = 59,149,961,083.70/257,272.38
  6. Step 6: Final answer
    x = 229,911.82

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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.