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Finding the Fourth Proportional to 275,195.40, 412,793.10 and 97,720.35

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Solution

The fourth proportional to 275,195.40, 412,793.10 and 97,720.35 is: 146,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,195.40 : 412,793.10 = 97,720.35 : x
  2. Step 2: Convert to fraction form
    275,195.40/412,793.10 = 97,720.35/x
  3. Step 3: Cross multiply
    275,195.40x = 412,793.10 × 97,720.35
  4. Step 4: Simplify right side
    275,195.40x = 40,338,286,209.59
  5. Step 5: Solve for x
    x = 40,338,286,209.59/275,195.40
  6. Step 6: Final answer
    x = 146,580.53

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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.