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Finding the Fourth Proportional to 782,215, 1,079,456.70 and 424,519

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Solution

The fourth proportional to 782,215, 1,079,456.70 and 424,519 is: 585,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,215 : 1,079,456.70 = 424,519 : x
  2. Step 2: Convert to fraction form
    782,215/1,079,456.70 = 424,519/x
  3. Step 3: Cross multiply
    782,215x = 1,079,456.70 × 424,519
  4. Step 4: Simplify right side
    782,215x = 458,249,878,827.30
  5. Step 5: Solve for x
    x = 458,249,878,827.30/782,215
  6. Step 6: Final answer
    x = 585,836.22

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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.