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Finding the Fourth Proportional to 782,168, 1,079,404.80 and 424,472

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Solution

The fourth proportional to 782,168, 1,079,404.80 and 424,472 is: 585,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,168 : 1,079,404.80 = 424,472 : x
  2. Step 2: Convert to fraction form
    782,168/1,079,404.80 = 424,472/x
  3. Step 3: Cross multiply
    782,168x = 1,079,404.80 × 424,472
  4. Step 4: Simplify right side
    782,168x = 458,177,114,265.60
  5. Step 5: Solve for x
    x = 458,177,114,265.60/782,168
  6. Step 6: Final answer
    x = 585,778.39

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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.