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Finding the Fourth Proportional to 257,473.32, 386,226.99 and 89,009.93

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Solution

The fourth proportional to 257,473.32, 386,226.99 and 89,009.93 is: 133,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,473.32 : 386,226.99 = 89,009.93 : x
  2. Step 2: Convert to fraction form
    257,473.32/386,226.99 = 89,009.93/x
  3. Step 3: Cross multiply
    257,473.32x = 386,226.99 × 89,009.93
  4. Step 4: Simplify right side
    257,473.32x = 34,378,037,344.01
  5. Step 5: Solve for x
    x = 34,378,037,344.01/257,473.32
  6. Step 6: Final answer
    x = 133,520.78

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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.