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Finding the Fourth Proportional to 406,871.64, 561,480.18 and 225,583.62

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Solution

The fourth proportional to 406,871.64, 561,480.18 and 225,583.62 is: 311,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,871.64 : 561,480.18 = 225,583.62 : x
  2. Step 2: Convert to fraction form
    406,871.64/561,480.18 = 225,583.62/x
  3. Step 3: Cross multiply
    406,871.64x = 561,480.18 × 225,583.62
  4. Step 4: Simplify right side
    406,871.64x = 126,660,731,562.65
  5. Step 5: Solve for x
    x = 126,660,731,562.65/406,871.64
  6. Step 6: Final answer
    x = 311,303.91

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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.