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Finding the Fourth Proportional to 407,042.28, 561,709.96 and 225,724.96

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Solution

The fourth proportional to 407,042.28, 561,709.96 and 225,724.96 is: 311,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,042.28 : 561,709.96 = 225,724.96 : x
  2. Step 2: Convert to fraction form
    407,042.28/561,709.96 = 225,724.96/x
  3. Step 3: Cross multiply
    407,042.28x = 561,709.96 × 225,724.96
  4. Step 4: Simplify right side
    407,042.28x = 126,791,958,252.60
  5. Step 5: Solve for x
    x = 126,791,958,252.60/407,042.28
  6. Step 6: Final answer
    x = 311,495.79

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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.