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Finding the Fourth Proportional to 782,143, 1,079,357.34 and 424,447

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Solution

The fourth proportional to 782,143, 1,079,357.34 and 424,447 is: 585,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,143 : 1,079,357.34 = 424,447 : x
  2. Step 2: Convert to fraction form
    782,143/1,079,357.34 = 424,447/x
  3. Step 3: Cross multiply
    782,143x = 1,079,357.34 × 424,447
  4. Step 4: Simplify right side
    782,143x = 458,129,984,890.98
  5. Step 5: Solve for x
    x = 458,129,984,890.98/782,143
  6. Step 6: Final answer
    x = 585,736.86

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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.