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Finding the Fourth Proportional to 337,158.70, 505,736.16 and 137,478.31

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Solution

The fourth proportional to 337,158.70, 505,736.16 and 137,478.31 is: 206,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,158.70 : 505,736.16 = 137,478.31 : x
  2. Step 2: Convert to fraction form
    337,158.70/505,736.16 = 137,478.31/x
  3. Step 3: Cross multiply
    337,158.70x = 505,736.16 × 137,478.31
  4. Step 4: Simplify right side
    337,158.70x = 69,527,752,582.69
  5. Step 5: Solve for x
    x = 69,527,752,582.69/337,158.70
  6. Step 6: Final answer
    x = 206,216.69

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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.