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Finding the Fourth Proportional to 272,561.60, 409,279.80 and 206,076.80

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Solution

The fourth proportional to 272,561.60, 409,279.80 and 206,076.80 is: 309,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,561.60 : 409,279.80 = 206,076.80 : x
  2. Step 2: Convert to fraction form
    272,561.60/409,279.80 = 206,076.80/x
  3. Step 3: Cross multiply
    272,561.60x = 409,279.80 × 206,076.80
  4. Step 4: Simplify right side
    272,561.60x = 84,343,071,488.64
  5. Step 5: Solve for x
    x = 84,343,071,488.64/272,561.60
  6. Step 6: Final answer
    x = 309,445.91

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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.