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Finding the Fourth Proportional to 254,480.50, 351,226.31 and 147,112.78

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Solution

The fourth proportional to 254,480.50, 351,226.31 and 147,112.78 is: 203,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,480.50 : 351,226.31 = 147,112.78 : x
  2. Step 2: Convert to fraction form
    254,480.50/351,226.31 = 147,112.78/x
  3. Step 3: Cross multiply
    254,480.50x = 351,226.31 × 147,112.78
  4. Step 4: Simplify right side
    254,480.50x = 51,669,878,873.24
  5. Step 5: Solve for x
    x = 51,669,878,873.24/254,480.50
  6. Step 6: Final answer
    x = 203,040.62

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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.