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Finding the Fourth Proportional to 379,517.44, 523,702.56 and 209,751.52

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Solution

The fourth proportional to 379,517.44, 523,702.56 and 209,751.52 is: 289,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,517.44 : 523,702.56 = 209,751.52 : x
  2. Step 2: Convert to fraction form
    379,517.44/523,702.56 = 209,751.52/x
  3. Step 3: Cross multiply
    379,517.44x = 523,702.56 × 209,751.52
  4. Step 4: Simplify right side
    379,517.44x = 109,847,407,987.89
  5. Step 5: Solve for x
    x = 109,847,407,987.89/379,517.44
  6. Step 6: Final answer
    x = 289,439.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.