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Finding the Fourth Proportional to 256,407.68, 384,678.02 and 136,365.92

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Solution

The fourth proportional to 256,407.68, 384,678.02 and 136,365.92 is: 204,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407.68 : 384,678.02 = 136,365.92 : x
  2. Step 2: Convert to fraction form
    256,407.68/384,678.02 = 136,365.92/x
  3. Step 3: Cross multiply
    256,407.68x = 384,678.02 × 136,365.92
  4. Step 4: Simplify right side
    256,407.68x = 52,456,972,892.32
  5. Step 5: Solve for x
    x = 52,456,972,892.32/256,407.68
  6. Step 6: Final answer
    x = 204,584.25

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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.