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Finding the Fourth Proportional to 208,909.20, 313,363.80 and 200,744.40

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Solution

The fourth proportional to 208,909.20, 313,363.80 and 200,744.40 is: 301,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,909.20 : 313,363.80 = 200,744.40 : x
  2. Step 2: Convert to fraction form
    208,909.20/313,363.80 = 200,744.40/x
  3. Step 3: Cross multiply
    208,909.20x = 313,363.80 × 200,744.40
  4. Step 4: Simplify right side
    208,909.20x = 62,906,028,012.72
  5. Step 5: Solve for x
    x = 62,906,028,012.72/208,909.20
  6. Step 6: Final answer
    x = 301,116.60

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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.