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Finding the Fourth Proportional to 318,729.92, 477,999.84 and 108,320

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Solution

The fourth proportional to 318,729.92, 477,999.84 and 108,320 is: 162,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,729.92 : 477,999.84 = 108,320 : x
  2. Step 2: Convert to fraction form
    318,729.92/477,999.84 = 108,320/x
  3. Step 3: Cross multiply
    318,729.92x = 477,999.84 × 108,320
  4. Step 4: Simplify right side
    318,729.92x = 51,776,942,668.80
  5. Step 5: Solve for x
    x = 51,776,942,668.80/318,729.92
  6. Step 6: Final answer
    x = 162,447.70

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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.