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Finding the Fourth Proportional to 401,190.64, 553,653.12 and 219,910.48

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Solution

The fourth proportional to 401,190.64, 553,653.12 and 219,910.48 is: 303,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,190.64 : 553,653.12 = 219,910.48 : x
  2. Step 2: Convert to fraction form
    401,190.64/553,653.12 = 219,910.48/x
  3. Step 3: Cross multiply
    401,190.64x = 553,653.12 × 219,910.48
  4. Step 4: Simplify right side
    401,190.64x = 121,754,123,372.70
  5. Step 5: Solve for x
    x = 121,754,123,372.70/401,190.64
  6. Step 6: Final answer
    x = 303,481.96

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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.