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Finding the Fourth Proportional to 381,311.28, 571,970.19 and 97,002.09

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Solution

The fourth proportional to 381,311.28, 571,970.19 and 97,002.09 is: 145,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,311.28 : 571,970.19 = 97,002.09 : x
  2. Step 2: Convert to fraction form
    381,311.28/571,970.19 = 97,002.09/x
  3. Step 3: Cross multiply
    381,311.28x = 571,970.19 × 97,002.09
  4. Step 4: Simplify right side
    381,311.28x = 55,482,303,847.70
  5. Step 5: Solve for x
    x = 55,482,303,847.70/381,311.28
  6. Step 6: Final answer
    x = 145,503.97

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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.