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Finding the Fourth Proportional to 260,414.70, 390,622.05 and 153,969.90

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Solution

The fourth proportional to 260,414.70, 390,622.05 and 153,969.90 is: 230,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,414.70 : 390,622.05 = 153,969.90 : x
  2. Step 2: Convert to fraction form
    260,414.70/390,622.05 = 153,969.90/x
  3. Step 3: Cross multiply
    260,414.70x = 390,622.05 × 153,969.90
  4. Step 4: Simplify right side
    260,414.70x = 60,144,037,976.30
  5. Step 5: Solve for x
    x = 60,144,037,976.30/260,414.70
  6. Step 6: Final answer
    x = 230,954.85

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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.