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Finding the Fourth Proportional to 383,410.96, 574,841.40 and 146,554

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Solution

The fourth proportional to 383,410.96, 574,841.40 and 146,554 is: 219,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,410.96 : 574,841.40 = 146,554 : x
  2. Step 2: Convert to fraction form
    383,410.96/574,841.40 = 146,554/x
  3. Step 3: Cross multiply
    383,410.96x = 574,841.40 × 146,554
  4. Step 4: Simplify right side
    383,410.96x = 84,245,306,535.60
  5. Step 5: Solve for x
    x = 84,245,306,535.60/383,410.96
  6. Step 6: Final answer
    x = 219,725.87

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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.