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Finding the Fourth Proportional to 275,715.40, 412,881.90 and 220,419.40

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Solution

The fourth proportional to 275,715.40, 412,881.90 and 220,419.40 is: 330,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715.40 : 412,881.90 = 220,419.40 : x
  2. Step 2: Convert to fraction form
    275,715.40/412,881.90 = 220,419.40/x
  3. Step 3: Cross multiply
    275,715.40x = 412,881.90 × 220,419.40
  4. Step 4: Simplify right side
    275,715.40x = 91,007,180,668.86
  5. Step 5: Solve for x
    x = 91,007,180,668.86/275,715.40
  6. Step 6: Final answer
    x = 330,076.52

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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.