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Finding the Fourth Proportional to 782,138.40, 1,169,708.40 and 656,167.20

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Solution

The fourth proportional to 782,138.40, 1,169,708.40 and 656,167.20 is: 981,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,138.40 : 1,169,708.40 = 656,167.20 : x
  2. Step 2: Convert to fraction form
    782,138.40/1,169,708.40 = 656,167.20/x
  3. Step 3: Cross multiply
    782,138.40x = 1,169,708.40 × 656,167.20
  4. Step 4: Simplify right side
    782,138.40x = 767,524,285,644.48
  5. Step 5: Solve for x
    x = 767,524,285,644.48/782,138.40
  6. Step 6: Final answer
    x = 981,315.18

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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.