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Finding the Fourth Proportional to 398,069.85, 597,350.85 and 161,414.58

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Solution

The fourth proportional to 398,069.85, 597,350.85 and 161,414.58 is: 242,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,069.85 : 597,350.85 = 161,414.58 : x
  2. Step 2: Convert to fraction form
    398,069.85/597,350.85 = 161,414.58/x
  3. Step 3: Cross multiply
    398,069.85x = 597,350.85 × 161,414.58
  4. Step 4: Simplify right side
    398,069.85x = 96,421,136,565.39
  5. Step 5: Solve for x
    x = 96,421,136,565.39/398,069.85
  6. Step 6: Final answer
    x = 242,221.65

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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.