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Finding the Fourth Proportional to 317,976.92, 476,963.44 and 81,319.20

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Solution

The fourth proportional to 317,976.92, 476,963.44 and 81,319.20 is: 121,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,976.92 : 476,963.44 = 81,319.20 : x
  2. Step 2: Convert to fraction form
    317,976.92/476,963.44 = 81,319.20/x
  3. Step 3: Cross multiply
    317,976.92x = 476,963.44 × 81,319.20
  4. Step 4: Simplify right side
    317,976.92x = 38,786,285,370.05
  5. Step 5: Solve for x
    x = 38,786,285,370.05/317,976.92
  6. Step 6: Final answer
    x = 121,978.30

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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.