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Finding the Fourth Proportional to 406,624.82, 561,163.83 and 225,356.54

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Solution

The fourth proportional to 406,624.82, 561,163.83 and 225,356.54 is: 311,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,624.82 : 561,163.83 = 225,356.54 : x
  2. Step 2: Convert to fraction form
    406,624.82/561,163.83 = 225,356.54/x
  3. Step 3: Cross multiply
    406,624.82x = 561,163.83 × 225,356.54
  4. Step 4: Simplify right side
    406,624.82x = 126,461,939,101.95
  5. Step 5: Solve for x
    x = 126,461,939,101.95/406,624.82
  6. Step 6: Final answer
    x = 311,003.98

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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.