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Finding the Fourth Proportional to 256,196.61, 384,529.28 and 129,924.02

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Solution

The fourth proportional to 256,196.61, 384,529.28 and 129,924.02 is: 195,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,196.61 : 384,529.28 = 129,924.02 : x
  2. Step 2: Convert to fraction form
    256,196.61/384,529.28 = 129,924.02/x
  3. Step 3: Cross multiply
    256,196.61x = 384,529.28 × 129,924.02
  4. Step 4: Simplify right side
    256,196.61x = 49,959,587,293.04
  5. Step 5: Solve for x
    x = 49,959,587,293.04/256,196.61
  6. Step 6: Final answer
    x = 195,004.87

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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.