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Finding the Fourth Proportional to 318,460.97, 477,691.46 and 81,803.88

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Solution

The fourth proportional to 318,460.97, 477,691.46 and 81,803.88 is: 122,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,460.97 : 477,691.46 = 81,803.88 : x
  2. Step 2: Convert to fraction form
    318,460.97/477,691.46 = 81,803.88/x
  3. Step 3: Cross multiply
    318,460.97x = 477,691.46 × 81,803.88
  4. Step 4: Simplify right side
    318,460.97x = 39,077,014,461.85
  5. Step 5: Solve for x
    x = 39,077,014,461.85/318,460.97
  6. Step 6: Final answer
    x = 122,705.82

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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.