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Finding the Fourth Proportional to 318,568.76, 477,922.30 and 96,947

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Solution

The fourth proportional to 318,568.76, 477,922.30 and 96,947 is: 145,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,568.76 : 477,922.30 = 96,947 : x
  2. Step 2: Convert to fraction form
    318,568.76/477,922.30 = 96,947/x
  3. Step 3: Cross multiply
    318,568.76x = 477,922.30 × 96,947
  4. Step 4: Simplify right side
    318,568.76x = 46,333,133,218.10
  5. Step 5: Solve for x
    x = 46,333,133,218.10/318,568.76
  6. Step 6: Final answer
    x = 145,441.55

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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.