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Finding the Fourth Proportional to 317,197.92, 437,753.28 and 209,579.20

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Solution

The fourth proportional to 317,197.92, 437,753.28 and 209,579.20 is: 289,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,197.92 : 437,753.28 = 209,579.20 : x
  2. Step 2: Convert to fraction form
    317,197.92/437,753.28 = 209,579.20/x
  3. Step 3: Cross multiply
    317,197.92x = 437,753.28 × 209,579.20
  4. Step 4: Simplify right side
    317,197.92x = 91,743,982,219.78
  5. Step 5: Solve for x
    x = 91,743,982,219.78/317,197.92
  6. Step 6: Final answer
    x = 289,232.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.