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Finding the Fourth Proportional to 407,091.37, 561,788.81 and 225,806.38

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Solution

The fourth proportional to 407,091.37, 561,788.81 and 225,806.38 is: 311,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,091.37 : 561,788.81 = 225,806.38 : x
  2. Step 2: Convert to fraction form
    407,091.37/561,788.81 = 225,806.38/x
  3. Step 3: Cross multiply
    407,091.37x = 561,788.81 × 225,806.38
  4. Step 4: Simplify right side
    407,091.37x = 126,855,500,254.10
  5. Step 5: Solve for x
    x = 126,855,500,254.10/407,091.37
  6. Step 6: Final answer
    x = 311,614.32

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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.