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Finding the Fourth Proportional to 272,285.40, 407,844.90 and 225,629.40

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Solution

The fourth proportional to 272,285.40, 407,844.90 and 225,629.40 is: 337,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,285.40 : 407,844.90 = 225,629.40 : x
  2. Step 2: Convert to fraction form
    272,285.40/407,844.90 = 225,629.40/x
  3. Step 3: Cross multiply
    272,285.40x = 407,844.90 × 225,629.40
  4. Step 4: Simplify right side
    272,285.40x = 92,021,800,080.06
  5. Step 5: Solve for x
    x = 92,021,800,080.06/272,285.40
  6. Step 6: Final answer
    x = 337,960.83

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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.