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Finding the Fourth Proportional to 317,697.20, 476,545.80 and 205,722.80

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Solution

The fourth proportional to 317,697.20, 476,545.80 and 205,722.80 is: 308,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,697.20 : 476,545.80 = 205,722.80 : x
  2. Step 2: Convert to fraction form
    317,697.20/476,545.80 = 205,722.80/x
  3. Step 3: Cross multiply
    317,697.20x = 476,545.80 × 205,722.80
  4. Step 4: Simplify right side
    317,697.20x = 98,036,336,304.24
  5. Step 5: Solve for x
    x = 98,036,336,304.24/317,697.20
  6. Step 6: Final answer
    x = 308,584.20

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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.