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Finding the Fourth Proportional to 407,003.91, 561,665.39 and 225,743.59

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Solution

The fourth proportional to 407,003.91, 561,665.39 and 225,743.59 is: 311,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,003.91 : 561,665.39 = 225,743.59 : x
  2. Step 2: Convert to fraction form
    407,003.91/561,665.39 = 225,743.59/x
  3. Step 3: Cross multiply
    407,003.91x = 561,665.39 × 225,743.59
  4. Step 4: Simplify right side
    407,003.91x = 126,792,362,360.52
  5. Step 5: Solve for x
    x = 126,792,362,360.52/407,003.91
  6. Step 6: Final answer
    x = 311,526.16

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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.