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Finding the Fourth Proportional to 407,109.66, 561,878.58 and 225,879.90

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Solution

The fourth proportional to 407,109.66, 561,878.58 and 225,879.90 is: 311,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,109.66 : 561,878.58 = 225,879.90 : x
  2. Step 2: Convert to fraction form
    407,109.66/561,878.58 = 225,879.90/x
  3. Step 3: Cross multiply
    407,109.66x = 561,878.58 × 225,879.90
  4. Step 4: Simplify right side
    407,109.66x = 126,917,077,462.54
  5. Step 5: Solve for x
    x = 126,917,077,462.54/407,109.66
  6. Step 6: Final answer
    x = 311,751.57

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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.