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Finding the Fourth Proportional to 407,110.30, 561,821.22 and 225,816.32

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Solution

The fourth proportional to 407,110.30, 561,821.22 and 225,816.32 is: 311,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,110.30 : 561,821.22 = 225,816.32 : x
  2. Step 2: Convert to fraction form
    407,110.30/561,821.22 = 225,816.32/x
  3. Step 3: Cross multiply
    407,110.30x = 561,821.22 × 225,816.32
  4. Step 4: Simplify right side
    407,110.30x = 126,868,399,269.23
  5. Step 5: Solve for x
    x = 126,868,399,269.23/407,110.30
  6. Step 6: Final answer
    x = 311,631.52

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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.