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Finding the Fourth Proportional to 383,872.80, 575,323.20 and 146,899.20

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Solution

The fourth proportional to 383,872.80, 575,323.20 and 146,899.20 is: 220,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,872.80 : 575,323.20 = 146,899.20 : x
  2. Step 2: Convert to fraction form
    383,872.80/575,323.20 = 146,899.20/x
  3. Step 3: Cross multiply
    383,872.80x = 575,323.20 × 146,899.20
  4. Step 4: Simplify right side
    383,872.80x = 84,514,517,821.44
  5. Step 5: Solve for x
    x = 84,514,517,821.44/383,872.80
  6. Step 6: Final answer
    x = 220,162.82

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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.