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Finding the Fourth Proportional to 406,685.70, 561,226.32 and 225,409.32

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Solution

The fourth proportional to 406,685.70, 561,226.32 and 225,409.32 is: 311,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,685.70 : 561,226.32 = 225,409.32 : x
  2. Step 2: Convert to fraction form
    406,685.70/561,226.32 = 225,409.32/x
  3. Step 3: Cross multiply
    406,685.70x = 561,226.32 × 225,409.32
  4. Step 4: Simplify right side
    406,685.70x = 126,505,643,157.30
  5. Step 5: Solve for x
    x = 126,505,643,157.30/406,685.70
  6. Step 6: Final answer
    x = 311,064.89

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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.