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Finding the Fourth Proportional to 465,452, 642,384 and 284,125.92

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Solution

The fourth proportional to 465,452, 642,384 and 284,125.92 is: 392,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,452 : 642,384 = 284,125.92 : x
  2. Step 2: Convert to fraction form
    465,452/642,384 = 284,125.92/x
  3. Step 3: Cross multiply
    465,452x = 642,384 × 284,125.92
  4. Step 4: Simplify right side
    465,452x = 182,517,944,993.28
  5. Step 5: Solve for x
    x = 182,517,944,993.28/465,452
  6. Step 6: Final answer
    x = 392,130.54

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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.