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Finding the Fourth Proportional to 305,371.90, 457,843.24 and 134,512.54

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Solution

The fourth proportional to 305,371.90, 457,843.24 and 134,512.54 is: 201,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,371.90 : 457,843.24 = 134,512.54 : x
  2. Step 2: Convert to fraction form
    305,371.90/457,843.24 = 134,512.54/x
  3. Step 3: Cross multiply
    305,371.90x = 457,843.24 × 134,512.54
  4. Step 4: Simplify right side
    305,371.90x = 61,585,657,134.23
  5. Step 5: Solve for x
    x = 61,585,657,134.23/305,371.90
  6. Step 6: Final answer
    x = 201,674.28

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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.