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Finding the Fourth Proportional to 360,531.80, 540,416.34 and 135,795

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Solution

The fourth proportional to 360,531.80, 540,416.34 and 135,795 is: 203,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,531.80 : 540,416.34 = 135,795 : x
  2. Step 2: Convert to fraction form
    360,531.80/540,416.34 = 135,795/x
  3. Step 3: Cross multiply
    360,531.80x = 540,416.34 × 135,795
  4. Step 4: Simplify right side
    360,531.80x = 73,385,836,890.30
  5. Step 5: Solve for x
    x = 73,385,836,890.30/360,531.80
  6. Step 6: Final answer
    x = 203,548.86

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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.