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Finding the Fourth Proportional to 512,115.20, 706,719.02 and 282,672.55

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Solution

The fourth proportional to 512,115.20, 706,719.02 and 282,672.55 is: 390,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,115.20 : 706,719.02 = 282,672.55 : x
  2. Step 2: Convert to fraction form
    512,115.20/706,719.02 = 282,672.55/x
  3. Step 3: Cross multiply
    512,115.20x = 706,719.02 × 282,672.55
  4. Step 4: Simplify right side
    512,115.20x = 199,770,063,983.31
  5. Step 5: Solve for x
    x = 199,770,063,983.31/512,115.20
  6. Step 6: Final answer
    x = 390,088.13

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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.