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Finding the Fourth Proportional to 256,473.27, 384,596.80 and 136,501.27

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Solution

The fourth proportional to 256,473.27, 384,596.80 and 136,501.27 is: 204,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,473.27 : 384,596.80 = 136,501.27 : x
  2. Step 2: Convert to fraction form
    256,473.27/384,596.80 = 136,501.27/x
  3. Step 3: Cross multiply
    256,473.27x = 384,596.80 × 136,501.27
  4. Step 4: Simplify right side
    256,473.27x = 52,497,950,335.19
  5. Step 5: Solve for x
    x = 52,497,950,335.19/256,473.27
  6. Step 6: Final answer
    x = 204,691.70

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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.