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Finding the Fourth Proportional to 262,872.20, 394,308.30 and 96,638.60

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Solution

The fourth proportional to 262,872.20, 394,308.30 and 96,638.60 is: 144,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,872.20 : 394,308.30 = 96,638.60 : x
  2. Step 2: Convert to fraction form
    262,872.20/394,308.30 = 96,638.60/x
  3. Step 3: Cross multiply
    262,872.20x = 394,308.30 × 96,638.60
  4. Step 4: Simplify right side
    262,872.20x = 38,105,402,080.38
  5. Step 5: Solve for x
    x = 38,105,402,080.38/262,872.20
  6. Step 6: Final answer
    x = 144,957.90

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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.