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Finding the Fourth Proportional to 342,397.64, 512,597.10 and 199,805.96

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Solution

The fourth proportional to 342,397.64, 512,597.10 and 199,805.96 is: 299,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,397.64 : 512,597.10 = 199,805.96 : x
  2. Step 2: Convert to fraction form
    342,397.64/512,597.10 = 199,805.96/x
  3. Step 3: Cross multiply
    342,397.64x = 512,597.10 × 199,805.96
  4. Step 4: Simplify right side
    342,397.64x = 102,419,955,658.72
  5. Step 5: Solve for x
    x = 102,419,955,658.72/342,397.64
  6. Step 6: Final answer
    x = 299,125.76

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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.