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Finding the Fourth Proportional to 318,296.70, 477,476.22 and 115,947.78

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Solution

The fourth proportional to 318,296.70, 477,476.22 and 115,947.78 is: 173,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,296.70 : 477,476.22 = 115,947.78 : x
  2. Step 2: Convert to fraction form
    318,296.70/477,476.22 = 115,947.78/x
  3. Step 3: Cross multiply
    318,296.70x = 477,476.22 × 115,947.78
  4. Step 4: Simplify right side
    318,296.70x = 55,362,307,711.79
  5. Step 5: Solve for x
    x = 55,362,307,711.79/318,296.70
  6. Step 6: Final answer
    x = 173,933.02

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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.