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Finding the Fourth Proportional to 381,751.60, 572,861.40 and 157,219.60

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Solution

The fourth proportional to 381,751.60, 572,861.40 and 157,219.60 is: 235,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,751.60 : 572,861.40 = 157,219.60 : x
  2. Step 2: Convert to fraction form
    381,751.60/572,861.40 = 157,219.60/x
  3. Step 3: Cross multiply
    381,751.60x = 572,861.40 × 157,219.60
  4. Step 4: Simplify right side
    381,751.60x = 90,065,040,163.44
  5. Step 5: Solve for x
    x = 90,065,040,163.44/381,751.60
  6. Step 6: Final answer
    x = 235,925.77

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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.