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Finding the Fourth Proportional to 317,415.96, 476,121.78 and 80,756.52

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Solution

The fourth proportional to 317,415.96, 476,121.78 and 80,756.52 is: 121,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415.96 : 476,121.78 = 80,756.52 : x
  2. Step 2: Convert to fraction form
    317,415.96/476,121.78 = 80,756.52/x
  3. Step 3: Cross multiply
    317,415.96x = 476,121.78 × 80,756.52
  4. Step 4: Simplify right side
    317,415.96x = 38,449,938,049.01
  5. Step 5: Solve for x
    x = 38,449,938,049.01/317,415.96
  6. Step 6: Final answer
    x = 121,134.23

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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.