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Finding the Fourth Proportional to 257,910.30, 386,865.45 and 163,431.90

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Solution

The fourth proportional to 257,910.30, 386,865.45 and 163,431.90 is: 245,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910.30 : 386,865.45 = 163,431.90 : x
  2. Step 2: Convert to fraction form
    257,910.30/386,865.45 = 163,431.90/x
  3. Step 3: Cross multiply
    257,910.30x = 386,865.45 × 163,431.90
  4. Step 4: Simplify right side
    257,910.30x = 63,226,155,537.86
  5. Step 5: Solve for x
    x = 63,226,155,537.86/257,910.30
  6. Step 6: Final answer
    x = 245,147.85

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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.