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Finding the Fourth Proportional to 402,293.70, 603,786.15 and 177,999.30

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Solution

The fourth proportional to 402,293.70, 603,786.15 and 177,999.30 is: 267,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,293.70 : 603,786.15 = 177,999.30 : x
  2. Step 2: Convert to fraction form
    402,293.70/603,786.15 = 177,999.30/x
  3. Step 3: Cross multiply
    402,293.70x = 603,786.15 × 177,999.30
  4. Step 4: Simplify right side
    402,293.70x = 107,473,512,049.70
  5. Step 5: Solve for x
    x = 107,473,512,049.70/402,293.70
  6. Step 6: Final answer
    x = 267,151.86

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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.