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Finding the Fourth Proportional to 407,076.47, 561,832.80 and 225,846.79

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Solution

The fourth proportional to 407,076.47, 561,832.80 and 225,846.79 is: 311,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,076.47 : 561,832.80 = 225,846.79 : x
  2. Step 2: Convert to fraction form
    407,076.47/561,832.80 = 225,846.79/x
  3. Step 3: Cross multiply
    407,076.47x = 561,832.80 × 225,846.79
  4. Step 4: Simplify right side
    407,076.47x = 126,888,131,587.55
  5. Step 5: Solve for x
    x = 126,888,131,587.55/407,076.47
  6. Step 6: Final answer
    x = 311,705.89

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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.