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Finding the Fourth Proportional to 270,359.76, 373,077.20 and 149,478.78

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Solution

The fourth proportional to 270,359.76, 373,077.20 and 149,478.78 is: 206,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,359.76 : 373,077.20 = 149,478.78 : x
  2. Step 2: Convert to fraction form
    270,359.76/373,077.20 = 149,478.78/x
  3. Step 3: Cross multiply
    270,359.76x = 373,077.20 × 149,478.78
  4. Step 4: Simplify right side
    270,359.76x = 55,767,123,954.42
  5. Step 5: Solve for x
    x = 55,767,123,954.42/270,359.76
  6. Step 6: Final answer
    x = 206,270.06

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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.