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Finding the Fourth Proportional to 317,124, 475,686 and 80,467.92

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Solution

The fourth proportional to 317,124, 475,686 and 80,467.92 is: 120,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,124 : 475,686 = 80,467.92 : x
  2. Step 2: Convert to fraction form
    317,124/475,686 = 80,467.92/x
  3. Step 3: Cross multiply
    317,124x = 475,686 × 80,467.92
  4. Step 4: Simplify right side
    317,124x = 38,277,462,993.12
  5. Step 5: Solve for x
    x = 38,277,462,993.12/317,124
  6. Step 6: Final answer
    x = 120,701.88

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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.