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Finding the Fourth Proportional to 383,753.80, 575,144.70 and 146,780.20

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Solution

The fourth proportional to 383,753.80, 575,144.70 and 146,780.20 is: 219,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,753.80 : 575,144.70 = 146,780.20 : x
  2. Step 2: Convert to fraction form
    383,753.80/575,144.70 = 146,780.20/x
  3. Step 3: Cross multiply
    383,753.80x = 575,144.70 × 146,780.20
  4. Step 4: Simplify right side
    383,753.80x = 84,419,854,094.94
  5. Step 5: Solve for x
    x = 84,419,854,094.94/383,753.80
  6. Step 6: Final answer
    x = 219,984.41

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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.