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Finding the Fourth Proportional to 284,447.76, 426,331.44 and 126,497.76

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Solution

The fourth proportional to 284,447.76, 426,331.44 and 126,497.76 is: 189,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,447.76 : 426,331.44 = 126,497.76 : x
  2. Step 2: Convert to fraction form
    284,447.76/426,331.44 = 126,497.76/x
  3. Step 3: Cross multiply
    284,447.76x = 426,331.44 × 126,497.76
  4. Step 4: Simplify right side
    284,447.76x = 53,929,972,177.57
  5. Step 5: Solve for x
    x = 53,929,972,177.57/284,447.76
  6. Step 6: Final answer
    x = 189,595.35

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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.