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Finding the Fourth Proportional to 305,221.69, 421,154.60 and 203,399.16

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Solution

The fourth proportional to 305,221.69, 421,154.60 and 203,399.16 is: 280,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.69 : 421,154.60 = 203,399.16 : x
  2. Step 2: Convert to fraction form
    305,221.69/421,154.60 = 203,399.16/x
  3. Step 3: Cross multiply
    305,221.69x = 421,154.60 × 203,399.16
  4. Step 4: Simplify right side
    305,221.69x = 85,662,491,870.14
  5. Step 5: Solve for x
    x = 85,662,491,870.14/305,221.69
  6. Step 6: Final answer
    x = 280,656.63

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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.