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Finding the Fourth Proportional to 408,398.68, 612,663.50 and 142,234.84

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Solution

The fourth proportional to 408,398.68, 612,663.50 and 142,234.84 is: 213,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398.68 : 612,663.50 = 142,234.84 : x
  2. Step 2: Convert to fraction form
    408,398.68/612,663.50 = 142,234.84/x
  3. Step 3: Cross multiply
    408,398.68x = 612,663.50 × 142,234.84
  4. Step 4: Simplify right side
    408,398.68x = 87,142,094,896.34
  5. Step 5: Solve for x
    x = 87,142,094,896.34/408,398.68
  6. Step 6: Final answer
    x = 213,375.07

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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.