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Finding the Fourth Proportional to 398,737.20, 598,165.20 and 142,550.40

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Solution

The fourth proportional to 398,737.20, 598,165.20 and 142,550.40 is: 213,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,737.20 : 598,165.20 = 142,550.40 : x
  2. Step 2: Convert to fraction form
    398,737.20/598,165.20 = 142,550.40/x
  3. Step 3: Cross multiply
    398,737.20x = 598,165.20 × 142,550.40
  4. Step 4: Simplify right side
    398,737.20x = 85,268,688,526.08
  5. Step 5: Solve for x
    x = 85,268,688,526.08/398,737.20
  6. Step 6: Final answer
    x = 213,846.84

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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.