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Finding the Fourth Proportional to 402,447.28, 603,562.92 and 191,665.84

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Solution

The fourth proportional to 402,447.28, 603,562.92 and 191,665.84 is: 287,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,447.28 : 603,562.92 = 191,665.84 : x
  2. Step 2: Convert to fraction form
    402,447.28/603,562.92 = 191,665.84/x
  3. Step 3: Cross multiply
    402,447.28x = 603,562.92 × 191,665.84
  4. Step 4: Simplify right side
    402,447.28x = 115,682,394,054.65
  5. Step 5: Solve for x
    x = 115,682,394,054.65/402,447.28
  6. Step 6: Final answer
    x = 287,447.32

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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.