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Finding the Fourth Proportional to 381,350.70, 572,463.45 and 231,759.90

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Solution

The fourth proportional to 381,350.70, 572,463.45 and 231,759.90 is: 347,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,350.70 : 572,463.45 = 231,759.90 : x
  2. Step 2: Convert to fraction form
    381,350.70/572,463.45 = 231,759.90/x
  3. Step 3: Cross multiply
    381,350.70x = 572,463.45 × 231,759.90
  4. Step 4: Simplify right side
    381,350.70x = 132,674,071,925.66
  5. Step 5: Solve for x
    x = 132,674,071,925.66/381,350.70
  6. Step 6: Final answer
    x = 347,905.67

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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.