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Finding the Fourth Proportional to 383,134.20, 574,701.30 and 102,679.80

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Solution

The fourth proportional to 383,134.20, 574,701.30 and 102,679.80 is: 154,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,134.20 : 574,701.30 = 102,679.80 : x
  2. Step 2: Convert to fraction form
    383,134.20/574,701.30 = 102,679.80/x
  3. Step 3: Cross multiply
    383,134.20x = 574,701.30 × 102,679.80
  4. Step 4: Simplify right side
    383,134.20x = 59,010,214,543.74
  5. Step 5: Solve for x
    x = 59,010,214,543.74/383,134.20
  6. Step 6: Final answer
    x = 154,019.70

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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.