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Finding the Fourth Proportional to 257,808.87, 386,707.36 and 151,864.90

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Solution

The fourth proportional to 257,808.87, 386,707.36 and 151,864.90 is: 227,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.87 : 386,707.36 = 151,864.90 : x
  2. Step 2: Convert to fraction form
    257,808.87/386,707.36 = 151,864.90/x
  3. Step 3: Cross multiply
    257,808.87x = 386,707.36 × 151,864.90
  4. Step 4: Simplify right side
    257,808.87x = 58,727,274,555.66
  5. Step 5: Solve for x
    x = 58,727,274,555.66/257,808.87
  6. Step 6: Final answer
    x = 227,793.85

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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.