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Finding the Fourth Proportional to 275,429.60, 413,144.40 and 272,805.20

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Solution

The fourth proportional to 275,429.60, 413,144.40 and 272,805.20 is: 409,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.60 : 413,144.40 = 272,805.20 : x
  2. Step 2: Convert to fraction form
    275,429.60/413,144.40 = 272,805.20/x
  3. Step 3: Cross multiply
    275,429.60x = 413,144.40 × 272,805.20
  4. Step 4: Simplify right side
    275,429.60x = 112,707,940,670.88
  5. Step 5: Solve for x
    x = 112,707,940,670.88/275,429.60
  6. Step 6: Final answer
    x = 409,207.80

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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.