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Finding the Fourth Proportional to 423,031.52, 634,231.70 and 254,512.37

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Solution

The fourth proportional to 423,031.52, 634,231.70 and 254,512.37 is: 381,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,031.52 : 634,231.70 = 254,512.37 : x
  2. Step 2: Convert to fraction form
    423,031.52/634,231.70 = 254,512.37/x
  3. Step 3: Cross multiply
    423,031.52x = 634,231.70 × 254,512.37
  4. Step 4: Simplify right side
    423,031.52x = 161,419,813,096.13
  5. Step 5: Solve for x
    x = 161,419,813,096.13/423,031.52
  6. Step 6: Final answer
    x = 381,578.69

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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.