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Finding the Fourth Proportional to 402,833.28, 603,960 and 189,481.92

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Solution

The fourth proportional to 402,833.28, 603,960 and 189,481.92 is: 284,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,833.28 : 603,960 = 189,481.92 : x
  2. Step 2: Convert to fraction form
    402,833.28/603,960 = 189,481.92/x
  3. Step 3: Cross multiply
    402,833.28x = 603,960 × 189,481.92
  4. Step 4: Simplify right side
    402,833.28x = 114,439,500,403.20
  5. Step 5: Solve for x
    x = 114,439,500,403.20/402,833.28
  6. Step 6: Final answer
    x = 284,086.51

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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.