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Finding the Fourth Proportional to 219,490.32, 328,971.16 and 100,999.44

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Solution

The fourth proportional to 219,490.32, 328,971.16 and 100,999.44 is: 151,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,490.32 : 328,971.16 = 100,999.44 : x
  2. Step 2: Convert to fraction form
    219,490.32/328,971.16 = 100,999.44/x
  3. Step 3: Cross multiply
    219,490.32x = 328,971.16 × 100,999.44
  4. Step 4: Simplify right side
    219,490.32x = 33,225,902,936.15
  5. Step 5: Solve for x
    x = 33,225,902,936.15/219,490.32
  6. Step 6: Final answer
    x = 151,377.53

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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.