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Finding the Fourth Proportional to 256,463.96, 384,351.98 and 199,606.52

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Solution

The fourth proportional to 256,463.96, 384,351.98 and 199,606.52 is: 299,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,463.96 : 384,351.98 = 199,606.52 : x
  2. Step 2: Convert to fraction form
    256,463.96/384,351.98 = 199,606.52/x
  3. Step 3: Cross multiply
    256,463.96x = 384,351.98 × 199,606.52
  4. Step 4: Simplify right side
    256,463.96x = 76,719,161,182.91
  5. Step 5: Solve for x
    x = 76,719,161,182.91/256,463.96
  6. Step 6: Final answer
    x = 299,142.08

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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.