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Finding the Fourth Proportional to 514,306.28, 709,734.74 and 287,959.88

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Solution

The fourth proportional to 514,306.28, 709,734.74 and 287,959.88 is: 397,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,306.28 : 709,734.74 = 287,959.88 : x
  2. Step 2: Convert to fraction form
    514,306.28/709,734.74 = 287,959.88/x
  3. Step 3: Cross multiply
    514,306.28x = 709,734.74 × 287,959.88
  4. Step 4: Simplify right side
    514,306.28x = 204,375,130,562.23
  5. Step 5: Solve for x
    x = 204,375,130,562.23/514,306.28
  6. Step 6: Final answer
    x = 397,380.20

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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.