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Finding the Fourth Proportional to 257,081.20, 385,769.34 and 200,763.20

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Solution

The fourth proportional to 257,081.20, 385,769.34 and 200,763.20 is: 301,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.20 : 385,769.34 = 200,763.20 : x
  2. Step 2: Convert to fraction form
    257,081.20/385,769.34 = 200,763.20/x
  3. Step 3: Cross multiply
    257,081.20x = 385,769.34 × 200,763.20
  4. Step 4: Simplify right side
    257,081.20x = 77,448,287,160.29
  5. Step 5: Solve for x
    x = 77,448,287,160.29/257,081.20
  6. Step 6: Final answer
    x = 301,260.02

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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.