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Finding the Fourth Proportional to 383,982, 576,230.10 and 159,342.65

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Solution

The fourth proportional to 383,982, 576,230.10 and 159,342.65 is: 239,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,982 : 576,230.10 = 159,342.65 : x
  2. Step 2: Convert to fraction form
    383,982/576,230.10 = 159,342.65/x
  3. Step 3: Cross multiply
    383,982x = 576,230.10 × 159,342.65
  4. Step 4: Simplify right side
    383,982x = 91,818,029,304.83
  5. Step 5: Solve for x
    x = 91,818,029,304.83/383,982
  6. Step 6: Final answer
    x = 239,120.66

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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.