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Finding the Fourth Proportional to 398,337.90, 597,847.05 and 161,850.30

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Solution

The fourth proportional to 398,337.90, 597,847.05 and 161,850.30 is: 242,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,337.90 : 597,847.05 = 161,850.30 : x
  2. Step 2: Convert to fraction form
    398,337.90/597,847.05 = 161,850.30/x
  3. Step 3: Cross multiply
    398,337.90x = 597,847.05 × 161,850.30
  4. Step 4: Simplify right side
    398,337.90x = 96,761,724,396.62
  5. Step 5: Solve for x
    x = 96,761,724,396.62/398,337.90
  6. Step 6: Final answer
    x = 242,913.68

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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.