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Finding the Fourth Proportional to 381,414.34, 574,405.55 and 347,363.78

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Solution

The fourth proportional to 381,414.34, 574,405.55 and 347,363.78 is: 523,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,414.34 : 574,405.55 = 347,363.78 : x
  2. Step 2: Convert to fraction form
    381,414.34/574,405.55 = 347,363.78/x
  3. Step 3: Cross multiply
    381,414.34x = 574,405.55 × 347,363.78
  4. Step 4: Simplify right side
    381,414.34x = 199,527,683,100.98
  5. Step 5: Solve for x
    x = 199,527,683,100.98/381,414.34
  6. Step 6: Final answer
    x = 523,125.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.