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Finding the Fourth Proportional to 317,400.40, 476,093.34 and 80,743.36

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Solution

The fourth proportional to 317,400.40, 476,093.34 and 80,743.36 is: 121,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,400.40 : 476,093.34 = 80,743.36 : x
  2. Step 2: Convert to fraction form
    317,400.40/476,093.34 = 80,743.36/x
  3. Step 3: Cross multiply
    317,400.40x = 476,093.34 × 80,743.36
  4. Step 4: Simplify right side
    317,400.40x = 38,441,375,945.22
  5. Step 5: Solve for x
    x = 38,441,375,945.22/317,400.40
  6. Step 6: Final answer
    x = 121,113.19

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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.