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Finding the Fourth Proportional to 512,165.92, 706,836 and 282,764.20

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Solution

The fourth proportional to 512,165.92, 706,836 and 282,764.20 is: 390,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,165.92 : 706,836 = 282,764.20 : x
  2. Step 2: Convert to fraction form
    512,165.92/706,836 = 282,764.20/x
  3. Step 3: Cross multiply
    512,165.92x = 706,836 × 282,764.20
  4. Step 4: Simplify right side
    512,165.92x = 199,867,916,071.20
  5. Step 5: Solve for x
    x = 199,867,916,071.20/512,165.92
  6. Step 6: Final answer
    x = 390,240.56

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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.