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Finding the Fourth Proportional to 381,147.52, 571,803.84 and 114,885.76

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Solution

The fourth proportional to 381,147.52, 571,803.84 and 114,885.76 is: 172,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,147.52 : 571,803.84 = 114,885.76 : x
  2. Step 2: Convert to fraction form
    381,147.52/571,803.84 = 114,885.76/x
  3. Step 3: Cross multiply
    381,147.52x = 571,803.84 × 114,885.76
  4. Step 4: Simplify right side
    381,147.52x = 65,692,118,729.32
  5. Step 5: Solve for x
    x = 65,692,118,729.32/381,147.52
  6. Step 6: Final answer
    x = 172,353.53

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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.