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Finding the Fourth Proportional to 398,635.67, 598,074.20 and 142,434.68

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Solution

The fourth proportional to 398,635.67, 598,074.20 and 142,434.68 is: 213,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,635.67 : 598,074.20 = 142,434.68 : x
  2. Step 2: Convert to fraction form
    398,635.67/598,074.20 = 142,434.68/x
  3. Step 3: Cross multiply
    398,635.67x = 598,074.20 × 142,434.68
  4. Step 4: Simplify right side
    398,635.67x = 85,186,504,658.97
  5. Step 5: Solve for x
    x = 85,186,504,658.97/398,635.67
  6. Step 6: Final answer
    x = 213,695.14

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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.