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Finding the Fourth Proportional to 542,820.80, 814,279.80 and 227,212.40

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Solution

The fourth proportional to 542,820.80, 814,279.80 and 227,212.40 is: 340,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820.80 : 814,279.80 = 227,212.40 : x
  2. Step 2: Convert to fraction form
    542,820.80/814,279.80 = 227,212.40/x
  3. Step 3: Cross multiply
    542,820.80x = 814,279.80 × 227,212.40
  4. Step 4: Simplify right side
    542,820.80x = 185,014,467,629.52
  5. Step 5: Solve for x
    x = 185,014,467,629.52/542,820.80
  6. Step 6: Final answer
    x = 340,838.94

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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.