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Finding the Fourth Proportional to 782,489.76, 1,079,840.34 and 460,213.44

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Solution

The fourth proportional to 782,489.76, 1,079,840.34 and 460,213.44 is: 635,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,489.76 : 1,079,840.34 = 460,213.44 : x
  2. Step 2: Convert to fraction form
    782,489.76/1,079,840.34 = 460,213.44/x
  3. Step 3: Cross multiply
    782,489.76x = 1,079,840.34 × 460,213.44
  4. Step 4: Simplify right side
    782,489.76x = 496,957,037,522.17
  5. Step 5: Solve for x
    x = 496,957,037,522.17/782,489.76
  6. Step 6: Final answer
    x = 635,097.18

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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.