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Finding the Fourth Proportional to 272,308.80, 407,977.20 and 131,757.60

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Solution

The fourth proportional to 272,308.80, 407,977.20 and 131,757.60 is: 197,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,308.80 : 407,977.20 = 131,757.60 : x
  2. Step 2: Convert to fraction form
    272,308.80/407,977.20 = 131,757.60/x
  3. Step 3: Cross multiply
    272,308.80x = 407,977.20 × 131,757.60
  4. Step 4: Simplify right side
    272,308.80x = 53,754,096,726.72
  5. Step 5: Solve for x
    x = 53,754,096,726.72/272,308.80
  6. Step 6: Final answer
    x = 197,401.25

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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.