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Finding the Fourth Proportional to 407,006, 561,668.28 and 225,745.69

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Solution

The fourth proportional to 407,006, 561,668.28 and 225,745.69 is: 311,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,006 : 561,668.28 = 225,745.69 : x
  2. Step 2: Convert to fraction form
    407,006/561,668.28 = 225,745.69/x
  3. Step 3: Cross multiply
    407,006x = 561,668.28 × 225,745.69
  4. Step 4: Simplify right side
    407,006x = 126,794,193,419.71
  5. Step 5: Solve for x
    x = 126,794,193,419.71/407,006
  6. Step 6: Final answer
    x = 311,529.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.