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Finding the Fourth Proportional to 463,081.56, 639,035.10 and 261,881.88

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Solution

The fourth proportional to 463,081.56, 639,035.10 and 261,881.88 is: 361,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,081.56 : 639,035.10 = 261,881.88 : x
  2. Step 2: Convert to fraction form
    463,081.56/639,035.10 = 261,881.88/x
  3. Step 3: Cross multiply
    463,081.56x = 639,035.10 × 261,881.88
  4. Step 4: Simplify right side
    463,081.56x = 167,351,713,373.99
  5. Step 5: Solve for x
    x = 167,351,713,373.99/463,081.56
  6. Step 6: Final answer
    x = 361,387.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.