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Finding the Fourth Proportional to 782,219, 1,079,462.22 and 424,523

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Solution

The fourth proportional to 782,219, 1,079,462.22 and 424,523 is: 585,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,219 : 1,079,462.22 = 424,523 : x
  2. Step 2: Convert to fraction form
    782,219/1,079,462.22 = 424,523/x
  3. Step 3: Cross multiply
    782,219x = 1,079,462.22 × 424,523
  4. Step 4: Simplify right side
    782,219x = 458,256,540,021.06
  5. Step 5: Solve for x
    x = 458,256,540,021.06/782,219
  6. Step 6: Final answer
    x = 585,841.74

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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.