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Finding the Fourth Proportional to 514,672.20, 772,008.30 and 140,695.20

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Solution

The fourth proportional to 514,672.20, 772,008.30 and 140,695.20 is: 211,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,672.20 : 772,008.30 = 140,695.20 : x
  2. Step 2: Convert to fraction form
    514,672.20/772,008.30 = 140,695.20/x
  3. Step 3: Cross multiply
    514,672.20x = 772,008.30 × 140,695.20
  4. Step 4: Simplify right side
    514,672.20x = 108,617,862,170.16
  5. Step 5: Solve for x
    x = 108,617,862,170.16/514,672.20
  6. Step 6: Final answer
    x = 211,042.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.