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Finding the Fourth Proportional to 512,468.14, 707,211.32 and 283,031.15

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Solution

The fourth proportional to 512,468.14, 707,211.32 and 283,031.15 is: 390,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,468.14 : 707,211.32 = 283,031.15 : x
  2. Step 2: Convert to fraction form
    512,468.14/707,211.32 = 283,031.15/x
  3. Step 3: Cross multiply
    512,468.14x = 707,211.32 × 283,031.15
  4. Step 4: Simplify right side
    512,468.14x = 200,162,829,833.46
  5. Step 5: Solve for x
    x = 200,162,829,833.46/512,468.14
  6. Step 6: Final answer
    x = 390,585.90

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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.