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Finding the Fourth Proportional to 407,003.63, 561,665.01 and 225,743.31

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Solution

The fourth proportional to 407,003.63, 561,665.01 and 225,743.31 is: 311,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,003.63 : 561,665.01 = 225,743.31 : x
  2. Step 2: Convert to fraction form
    407,003.63/561,665.01 = 225,743.31/x
  3. Step 3: Cross multiply
    407,003.63x = 561,665.01 × 225,743.31
  4. Step 4: Simplify right side
    407,003.63x = 126,792,118,468.58
  5. Step 5: Solve for x
    x = 126,792,118,468.58/407,003.63
  6. Step 6: Final answer
    x = 311,525.77

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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.