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Finding the Fourth Proportional to 442,195.20, 663,292.80 and 282,762.90

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Solution

The fourth proportional to 442,195.20, 663,292.80 and 282,762.90 is: 424,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,195.20 : 663,292.80 = 282,762.90 : x
  2. Step 2: Convert to fraction form
    442,195.20/663,292.80 = 282,762.90/x
  3. Step 3: Cross multiply
    442,195.20x = 663,292.80 × 282,762.90
  4. Step 4: Simplify right side
    442,195.20x = 187,554,595,677.12
  5. Step 5: Solve for x
    x = 187,554,595,677.12/442,195.20
  6. Step 6: Final answer
    x = 424,144.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.