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Finding the Fourth Proportional to 343,399.80, 515,138.10 and 106,740.60

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Solution

The fourth proportional to 343,399.80, 515,138.10 and 106,740.60 is: 160,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,399.80 : 515,138.10 = 106,740.60 : x
  2. Step 2: Convert to fraction form
    343,399.80/515,138.10 = 106,740.60/x
  3. Step 3: Cross multiply
    343,399.80x = 515,138.10 × 106,740.60
  4. Step 4: Simplify right side
    343,399.80x = 54,986,149,876.86
  5. Step 5: Solve for x
    x = 54,986,149,876.86/343,399.80
  6. Step 6: Final answer
    x = 160,122.84

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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.