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Finding the Fourth Proportional to 421,843.68, 582,158.88 and 240,582.96

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Solution

The fourth proportional to 421,843.68, 582,158.88 and 240,582.96 is: 332,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,843.68 : 582,158.88 = 240,582.96 : x
  2. Step 2: Convert to fraction form
    421,843.68/582,158.88 = 240,582.96/x
  3. Step 3: Cross multiply
    421,843.68x = 582,158.88 × 240,582.96
  4. Step 4: Simplify right side
    421,843.68x = 140,057,506,540.69
  5. Step 5: Solve for x
    x = 140,057,506,540.69/421,843.68
  6. Step 6: Final answer
    x = 332,012.81

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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.