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Finding the Fourth Proportional to 782,213, 1,079,453.94 and 424,517

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Solution

The fourth proportional to 782,213, 1,079,453.94 and 424,517 is: 585,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,213 : 1,079,453.94 = 424,517 : x
  2. Step 2: Convert to fraction form
    782,213/1,079,453.94 = 424,517/x
  3. Step 3: Cross multiply
    782,213x = 1,079,453.94 × 424,517
  4. Step 4: Simplify right side
    782,213x = 458,246,548,246.98
  5. Step 5: Solve for x
    x = 458,246,548,246.98/782,213
  6. Step 6: Final answer
    x = 585,833.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.