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Finding the Fourth Proportional to 383,586.80, 574,894.20 and 146,613.20

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Solution

The fourth proportional to 383,586.80, 574,894.20 and 146,613.20 is: 219,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,586.80 : 574,894.20 = 146,613.20 : x
  2. Step 2: Convert to fraction form
    383,586.80/574,894.20 = 146,613.20/x
  3. Step 3: Cross multiply
    383,586.80x = 574,894.20 × 146,613.20
  4. Step 4: Simplify right side
    383,586.80x = 84,287,078,323.44
  5. Step 5: Solve for x
    x = 84,287,078,323.44/383,586.80
  6. Step 6: Final answer
    x = 219,734.04

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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.