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Finding the Fourth Proportional to 318,561.87, 477,916.77 and 105,316.92

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Solution

The fourth proportional to 318,561.87, 477,916.77 and 105,316.92 is: 157,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,561.87 : 477,916.77 = 105,316.92 : x
  2. Step 2: Convert to fraction form
    318,561.87/477,916.77 = 105,316.92/x
  3. Step 3: Cross multiply
    318,561.87x = 477,916.77 × 105,316.92
  4. Step 4: Simplify right side
    318,561.87x = 50,332,720,691.14
  5. Step 5: Solve for x
    x = 50,332,720,691.14/318,561.87
  6. Step 6: Final answer
    x = 157,999.83

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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.