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Finding the Fourth Proportional to 381,323.89, 571,989.18 and 97,014.70

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Solution

The fourth proportional to 381,323.89, 571,989.18 and 97,014.70 is: 145,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,323.89 : 571,989.18 = 97,014.70 : x
  2. Step 2: Convert to fraction form
    381,323.89/571,989.18 = 97,014.70/x
  3. Step 3: Cross multiply
    381,323.89x = 571,989.18 × 97,014.70
  4. Step 4: Simplify right side
    381,323.89x = 55,491,358,700.95
  5. Step 5: Solve for x
    x = 55,491,358,700.95/381,323.89
  6. Step 6: Final answer
    x = 145,522.90

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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.