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Finding the Fourth Proportional to 256,501.44, 384,897.12 and 138,169.92

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Solution

The fourth proportional to 256,501.44, 384,897.12 and 138,169.92 is: 207,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.44 : 384,897.12 = 138,169.92 : x
  2. Step 2: Convert to fraction form
    256,501.44/384,897.12 = 138,169.92/x
  3. Step 3: Cross multiply
    256,501.44x = 384,897.12 × 138,169.92
  4. Step 4: Simplify right side
    256,501.44x = 53,181,204,278.63
  5. Step 5: Solve for x
    x = 53,181,204,278.63/256,501.44
  6. Step 6: Final answer
    x = 207,332.97

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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.