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Finding the Fourth Proportional to 381,311.28, 571,971 and 115,074.18

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Solution

The fourth proportional to 381,311.28, 571,971 and 115,074.18 is: 172,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,311.28 : 571,971 = 115,074.18 : x
  2. Step 2: Convert to fraction form
    381,311.28/571,971 = 115,074.18/x
  3. Step 3: Cross multiply
    381,311.28x = 571,971 × 115,074.18
  4. Step 4: Simplify right side
    381,311.28x = 65,819,093,808.78
  5. Step 5: Solve for x
    x = 65,819,093,808.78/381,311.28
  6. Step 6: Final answer
    x = 172,612.50

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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.