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Finding the Fourth Proportional to 428,168.40, 642,285.81 and 128,625.54

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Solution

The fourth proportional to 428,168.40, 642,285.81 and 128,625.54 is: 192,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,168.40 : 642,285.81 = 128,625.54 : x
  2. Step 2: Convert to fraction form
    428,168.40/642,285.81 = 128,625.54/x
  3. Step 3: Cross multiply
    428,168.40x = 642,285.81 × 128,625.54
  4. Step 4: Simplify right side
    428,168.40x = 82,614,359,145.59
  5. Step 5: Solve for x
    x = 82,614,359,145.59/428,168.40
  6. Step 6: Final answer
    x = 192,948.29

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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.