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Finding the Fourth Proportional to 318,728.10, 477,917.35 and 126,407.73

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Solution

The fourth proportional to 318,728.10, 477,917.35 and 126,407.73 is: 189,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,728.10 : 477,917.35 = 126,407.73 : x
  2. Step 2: Convert to fraction form
    318,728.10/477,917.35 = 126,407.73/x
  3. Step 3: Cross multiply
    318,728.10x = 477,917.35 × 126,407.73
  4. Step 4: Simplify right side
    318,728.10x = 60,412,447,341.12
  5. Step 5: Solve for x
    x = 60,412,447,341.12/318,728.10
  6. Step 6: Final answer
    x = 189,542.27

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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.