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Finding the Fourth Proportional to 342,049.20, 512,490.60 and 282,562.80

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Solution

The fourth proportional to 342,049.20, 512,490.60 and 282,562.80 is: 423,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,049.20 : 512,490.60 = 282,562.80 : x
  2. Step 2: Convert to fraction form
    342,049.20/512,490.60 = 282,562.80/x
  3. Step 3: Cross multiply
    342,049.20x = 512,490.60 × 282,562.80
  4. Step 4: Simplify right side
    342,049.20x = 144,810,778,909.68
  5. Step 5: Solve for x
    x = 144,810,778,909.68/342,049.20
  6. Step 6: Final answer
    x = 423,362.43

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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.