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Finding the Fourth Proportional to 275,353.20, 413,029.80 and 213,145.20

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Solution

The fourth proportional to 275,353.20, 413,029.80 and 213,145.20 is: 319,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,353.20 : 413,029.80 = 213,145.20 : x
  2. Step 2: Convert to fraction form
    275,353.20/413,029.80 = 213,145.20/x
  3. Step 3: Cross multiply
    275,353.20x = 413,029.80 × 213,145.20
  4. Step 4: Simplify right side
    275,353.20x = 88,035,319,326.96
  5. Step 5: Solve for x
    x = 88,035,319,326.96/275,353.20
  6. Step 6: Final answer
    x = 319,717.80

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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.