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Finding the Fourth Proportional to 398,531.92, 597,891.34 and 158,660.50

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Solution

The fourth proportional to 398,531.92, 597,891.34 and 158,660.50 is: 238,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,531.92 : 597,891.34 = 158,660.50 : x
  2. Step 2: Convert to fraction form
    398,531.92/597,891.34 = 158,660.50/x
  3. Step 3: Cross multiply
    398,531.92x = 597,891.34 × 158,660.50
  4. Step 4: Simplify right side
    398,531.92x = 94,861,738,950.07
  5. Step 5: Solve for x
    x = 94,861,738,950.07/398,531.92
  6. Step 6: Final answer
    x = 238,027.96

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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.