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Finding the Fourth Proportional to 262,866.64, 394,412.94 and 85,428.04

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Solution

The fourth proportional to 262,866.64, 394,412.94 and 85,428.04 is: 128,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,866.64 : 394,412.94 = 85,428.04 : x
  2. Step 2: Convert to fraction form
    262,866.64/394,412.94 = 85,428.04/x
  3. Step 3: Cross multiply
    262,866.64x = 394,412.94 × 85,428.04
  4. Step 4: Simplify right side
    262,866.64x = 33,693,924,414.84
  5. Step 5: Solve for x
    x = 33,693,924,414.84/262,866.64
  6. Step 6: Final answer
    x = 128,178.78

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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.