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Finding the Fourth Proportional to 782,208, 1,079,447.04 and 424,512

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Solution

The fourth proportional to 782,208, 1,079,447.04 and 424,512 is: 585,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,208 : 1,079,447.04 = 424,512 : x
  2. Step 2: Convert to fraction form
    782,208/1,079,447.04 = 424,512/x
  3. Step 3: Cross multiply
    782,208x = 1,079,447.04 × 424,512
  4. Step 4: Simplify right side
    782,208x = 458,238,221,844.48
  5. Step 5: Solve for x
    x = 458,238,221,844.48/782,208
  6. Step 6: Final answer
    x = 585,826.56

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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.