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Finding the Fourth Proportional to 407,104.66, 561,871.68 and 225,874.90

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Solution

The fourth proportional to 407,104.66, 561,871.68 and 225,874.90 is: 311,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104.66 : 561,871.68 = 225,874.90 : x
  2. Step 2: Convert to fraction form
    407,104.66/561,871.68 = 225,874.90/x
  3. Step 3: Cross multiply
    407,104.66x = 561,871.68 × 225,874.90
  4. Step 4: Simplify right side
    407,104.66x = 126,912,709,532.83
  5. Step 5: Solve for x
    x = 126,912,709,532.83/407,104.66
  6. Step 6: Final answer
    x = 311,744.67

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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.