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Finding the Fourth Proportional to 782,252, 1,079,507.92 and 424,556

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Solution

The fourth proportional to 782,252, 1,079,507.92 and 424,556 is: 585,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,252 : 1,079,507.92 = 424,556 : x
  2. Step 2: Convert to fraction form
    782,252/1,079,507.92 = 424,556/x
  3. Step 3: Cross multiply
    782,252x = 1,079,507.92 × 424,556
  4. Step 4: Simplify right side
    782,252x = 458,311,564,483.52
  5. Step 5: Solve for x
    x = 458,311,564,483.52/782,252
  6. Step 6: Final answer
    x = 585,887.37

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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.