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Finding the Fourth Proportional to 219,488.82, 328,968.91 and 100,997.94

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Solution

The fourth proportional to 219,488.82, 328,968.91 and 100,997.94 is: 151,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,488.82 : 328,968.91 = 100,997.94 : x
  2. Step 2: Convert to fraction form
    219,488.82/328,968.91 = 100,997.94/x
  3. Step 3: Cross multiply
    219,488.82x = 328,968.91 × 100,997.94
  4. Step 4: Simplify right side
    219,488.82x = 33,225,182,234.05
  5. Step 5: Solve for x
    x = 33,225,182,234.05/219,488.82
  6. Step 6: Final answer
    x = 151,375.28

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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.