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Finding the Fourth Proportional to 318,486.20, 477,729.33 and 81,828.87

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Solution

The fourth proportional to 318,486.20, 477,729.33 and 81,828.87 is: 122,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,486.20 : 477,729.33 = 81,828.87 : x
  2. Step 2: Convert to fraction form
    318,486.20/477,729.33 = 81,828.87/x
  3. Step 3: Cross multiply
    318,486.20x = 477,729.33 × 81,828.87
  4. Step 4: Simplify right side
    318,486.20x = 39,092,049,141.41
  5. Step 5: Solve for x
    x = 39,092,049,141.41/318,486.20
  6. Step 6: Final answer
    x = 122,743.31

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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.