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Finding the Fourth Proportional to 206,587.20, 309,880.80 and 197,839.20

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Solution

The fourth proportional to 206,587.20, 309,880.80 and 197,839.20 is: 296,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,587.20 : 309,880.80 = 197,839.20 : x
  2. Step 2: Convert to fraction form
    206,587.20/309,880.80 = 197,839.20/x
  3. Step 3: Cross multiply
    206,587.20x = 309,880.80 × 197,839.20
  4. Step 4: Simplify right side
    206,587.20x = 61,306,569,567.36
  5. Step 5: Solve for x
    x = 61,306,569,567.36/206,587.20
  6. Step 6: Final answer
    x = 296,758.80

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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.