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Finding the Fourth Proportional to 272,278.40, 407,834.40 and 225,622.40

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Solution

The fourth proportional to 272,278.40, 407,834.40 and 225,622.40 is: 337,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,278.40 : 407,834.40 = 225,622.40 : x
  2. Step 2: Convert to fraction form
    272,278.40/407,834.40 = 225,622.40/x
  3. Step 3: Cross multiply
    272,278.40x = 407,834.40 × 225,622.40
  4. Step 4: Simplify right side
    272,278.40x = 92,016,576,130.56
  5. Step 5: Solve for x
    x = 92,016,576,130.56/272,278.40
  6. Step 6: Final answer
    x = 337,950.33

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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.