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Finding the Fourth Proportional to 407,013.49, 561,713.12 and 225,783.80

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Solution

The fourth proportional to 407,013.49, 561,713.12 and 225,783.80 is: 311,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,013.49 : 561,713.12 = 225,783.80 : x
  2. Step 2: Convert to fraction form
    407,013.49/561,713.12 = 225,783.80/x
  3. Step 3: Cross multiply
    407,013.49x = 561,713.12 × 225,783.80
  4. Step 4: Simplify right side
    407,013.49x = 126,825,723,865.51
  5. Step 5: Solve for x
    x = 126,825,723,865.51/407,013.49
  6. Step 6: Final answer
    x = 311,600.79

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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.