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Finding the Fourth Proportional to 343,089.60, 514,654.56 and 132,728.64

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Solution

The fourth proportional to 343,089.60, 514,654.56 and 132,728.64 is: 199,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,089.60 : 514,654.56 = 132,728.64 : x
  2. Step 2: Convert to fraction form
    343,089.60/514,654.56 = 132,728.64/x
  3. Step 3: Cross multiply
    343,089.60x = 514,654.56 × 132,728.64
  4. Step 4: Simplify right side
    343,089.60x = 68,309,399,818.60
  5. Step 5: Solve for x
    x = 68,309,399,818.60/343,089.60
  6. Step 6: Final answer
    x = 199,100.76

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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.