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Finding the Fourth Proportional to 512,134.92, 706,793.10 and 282,733.32

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Solution

The fourth proportional to 512,134.92, 706,793.10 and 282,733.32 is: 390,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,134.92 : 706,793.10 = 282,733.32 : x
  2. Step 2: Convert to fraction form
    512,134.92/706,793.10 = 282,733.32/x
  3. Step 3: Cross multiply
    512,134.92x = 706,793.10 × 282,733.32
  4. Step 4: Simplify right side
    512,134.92x = 199,833,959,716.09
  5. Step 5: Solve for x
    x = 199,833,959,716.09/512,134.92
  6. Step 6: Final answer
    x = 390,197.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.