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Finding the Fourth Proportional to 442,147.54, 663,350.46 and 142,621.48

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Solution

The fourth proportional to 442,147.54, 663,350.46 and 142,621.48 is: 213,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,147.54 : 663,350.46 = 142,621.48 : x
  2. Step 2: Convert to fraction form
    442,147.54/663,350.46 = 142,621.48/x
  3. Step 3: Cross multiply
    442,147.54x = 663,350.46 × 142,621.48
  4. Step 4: Simplify right side
    442,147.54x = 94,608,024,363.88
  5. Step 5: Solve for x
    x = 94,608,024,363.88/442,147.54
  6. Step 6: Final answer
    x = 213,973.88

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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.