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Finding the Fourth Proportional to 407,218.84, 561,942.96 and 225,928.84

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Solution

The fourth proportional to 407,218.84, 561,942.96 and 225,928.84 is: 311,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,218.84 : 561,942.96 = 225,928.84 : x
  2. Step 2: Convert to fraction form
    407,218.84/561,942.96 = 225,928.84/x
  3. Step 3: Cross multiply
    407,218.84x = 561,942.96 × 225,928.84
  4. Step 4: Simplify right side
    407,218.84x = 126,959,121,098.97
  5. Step 5: Solve for x
    x = 126,959,121,098.97/407,218.84
  6. Step 6: Final answer
    x = 311,771.24

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1.5x scale

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.