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Finding the Fourth Proportional to 398,737.70, 598,165.95 and 142,550.90

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Solution

The fourth proportional to 398,737.70, 598,165.95 and 142,550.90 is: 213,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,737.70 : 598,165.95 = 142,550.90 : x
  2. Step 2: Convert to fraction form
    398,737.70/598,165.95 = 142,550.90/x
  3. Step 3: Cross multiply
    398,737.70x = 598,165.95 × 142,550.90
  4. Step 4: Simplify right side
    398,737.70x = 85,269,094,521.86
  5. Step 5: Solve for x
    x = 85,269,094,521.86/398,737.70
  6. Step 6: Final answer
    x = 213,847.59

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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.