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Finding the Fourth Proportional to 219,892.56, 303,295.28 and 201,801.72

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Solution

The fourth proportional to 219,892.56, 303,295.28 and 201,801.72 is: 278,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,892.56 : 303,295.28 = 201,801.72 : x
  2. Step 2: Convert to fraction form
    219,892.56/303,295.28 = 201,801.72/x
  3. Step 3: Cross multiply
    219,892.56x = 303,295.28 × 201,801.72
  4. Step 4: Simplify right side
    219,892.56x = 61,205,509,171.88
  5. Step 5: Solve for x
    x = 61,205,509,171.88/219,892.56
  6. Step 6: Final answer
    x = 278,342.79

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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.