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Finding the Fourth Proportional to 381,234.63, 571,685.84 and 128,468.01

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Solution

The fourth proportional to 381,234.63, 571,685.84 and 128,468.01 is: 192,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,234.63 : 571,685.84 = 128,468.01 : x
  2. Step 2: Convert to fraction form
    381,234.63/571,685.84 = 128,468.01/x
  3. Step 3: Cross multiply
    381,234.63x = 571,685.84 × 128,468.01
  4. Step 4: Simplify right side
    381,234.63x = 73,443,344,193.22
  5. Step 5: Solve for x
    x = 73,443,344,193.22/381,234.63
  6. Step 6: Final answer
    x = 192,646.04

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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.