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Finding the Fourth Proportional to 268,147.92, 370,043.46 and 147,288.90

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Solution

The fourth proportional to 268,147.92, 370,043.46 and 147,288.90 is: 203,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,147.92 : 370,043.46 = 147,288.90 : x
  2. Step 2: Convert to fraction form
    268,147.92/370,043.46 = 147,288.90/x
  3. Step 3: Cross multiply
    268,147.92x = 370,043.46 × 147,288.90
  4. Step 4: Simplify right side
    268,147.92x = 54,503,294,175.59
  5. Step 5: Solve for x
    x = 54,503,294,175.59/268,147.92
  6. Step 6: Final answer
    x = 203,258.31

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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.