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Finding the Fourth Proportional to 406,903, 561,532.90 and 225,622.58

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Solution

The fourth proportional to 406,903, 561,532.90 and 225,622.58 is: 311,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,903 : 561,532.90 = 225,622.58 : x
  2. Step 2: Convert to fraction form
    406,903/561,532.90 = 225,622.58/x
  3. Step 3: Cross multiply
    406,903x = 561,532.90 × 225,622.58
  4. Step 4: Simplify right side
    406,903x = 126,694,501,652.88
  5. Step 5: Solve for x
    x = 126,694,501,652.88/406,903
  6. Step 6: Final answer
    x = 311,362.91

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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.