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Finding the Fourth Proportional to 257,565.52, 386,268.28 and 124,362.96

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Solution

The fourth proportional to 257,565.52, 386,268.28 and 124,362.96 is: 186,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,565.52 : 386,268.28 = 124,362.96 : x
  2. Step 2: Convert to fraction form
    257,565.52/386,268.28 = 124,362.96/x
  3. Step 3: Cross multiply
    257,565.52x = 386,268.28 × 124,362.96
  4. Step 4: Simplify right side
    257,565.52x = 48,037,466,654.91
  5. Step 5: Solve for x
    x = 48,037,466,654.91/257,565.52
  6. Step 6: Final answer
    x = 186,505.81

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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.