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Finding the Fourth Proportional to 318,306.12, 477,459.24 and 81,648.78

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Solution

The fourth proportional to 318,306.12, 477,459.24 and 81,648.78 is: 122,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,306.12 : 477,459.24 = 81,648.78 : x
  2. Step 2: Convert to fraction form
    318,306.12/477,459.24 = 81,648.78/x
  3. Step 3: Cross multiply
    318,306.12x = 477,459.24 × 81,648.78
  4. Step 4: Simplify right side
    318,306.12x = 38,983,964,445.73
  5. Step 5: Solve for x
    x = 38,983,964,445.73/318,306.12
  6. Step 6: Final answer
    x = 122,473.19

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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.