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Finding the Fourth Proportional to 262,920.96, 394,387.20 and 85,428

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Solution

The fourth proportional to 262,920.96, 394,387.20 and 85,428 is: 128,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,920.96 : 394,387.20 = 85,428 : x
  2. Step 2: Convert to fraction form
    262,920.96/394,387.20 = 85,428/x
  3. Step 3: Cross multiply
    262,920.96x = 394,387.20 × 85,428
  4. Step 4: Simplify right side
    262,920.96x = 33,691,709,721.60
  5. Step 5: Solve for x
    x = 33,691,709,721.60/262,920.96
  6. Step 6: Final answer
    x = 128,143.87

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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.