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Finding the Fourth Proportional to 272,470.60, 408,317.10 and 200,834.20

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Solution

The fourth proportional to 272,470.60, 408,317.10 and 200,834.20 is: 300,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,470.60 : 408,317.10 = 200,834.20 : x
  2. Step 2: Convert to fraction form
    272,470.60/408,317.10 = 200,834.20/x
  3. Step 3: Cross multiply
    272,470.60x = 408,317.10 × 200,834.20
  4. Step 4: Simplify right side
    272,470.60x = 82,004,038,124.82
  5. Step 5: Solve for x
    x = 82,004,038,124.82/272,470.60
  6. Step 6: Final answer
    x = 300,964.72

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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.