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Finding the Fourth Proportional to 270,142.83, 372,778.56 and 149,283

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Solution

The fourth proportional to 270,142.83, 372,778.56 and 149,283 is: 206,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,142.83 : 372,778.56 = 149,283 : x
  2. Step 2: Convert to fraction form
    270,142.83/372,778.56 = 149,283/x
  3. Step 3: Cross multiply
    270,142.83x = 372,778.56 × 149,283
  4. Step 4: Simplify right side
    270,142.83x = 55,649,501,772.48
  5. Step 5: Solve for x
    x = 55,649,501,772.48/270,142.83
  6. Step 6: Final answer
    x = 206,000.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.