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Finding the Fourth Proportional to 318,863.38, 478,302.30 and 119,074.78

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Solution

The fourth proportional to 318,863.38, 478,302.30 and 119,074.78 is: 178,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,863.38 : 478,302.30 = 119,074.78 : x
  2. Step 2: Convert to fraction form
    318,863.38/478,302.30 = 119,074.78/x
  3. Step 3: Cross multiply
    318,863.38x = 478,302.30 × 119,074.78
  4. Step 4: Simplify right side
    318,863.38x = 56,953,741,145.99
  5. Step 5: Solve for x
    x = 56,953,741,145.99/318,863.38
  6. Step 6: Final answer
    x = 178,614.87

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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.