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Finding the Fourth Proportional to 219,323.70, 328,936.34 and 100,881.25

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Solution

The fourth proportional to 219,323.70, 328,936.34 and 100,881.25 is: 151,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.70 : 328,936.34 = 100,881.25 : x
  2. Step 2: Convert to fraction form
    219,323.70/328,936.34 = 100,881.25/x
  3. Step 3: Cross multiply
    219,323.70x = 328,936.34 × 100,881.25
  4. Step 4: Simplify right side
    219,323.70x = 33,183,508,579.49
  5. Step 5: Solve for x
    x = 33,183,508,579.49/219,323.70
  6. Step 6: Final answer
    x = 151,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.