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Finding the Fourth Proportional to 219,982, 303,575.36 and 119,380

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Solution

The fourth proportional to 219,982, 303,575.36 and 119,380 is: 164,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,982 : 303,575.36 = 119,380 : x
  2. Step 2: Convert to fraction form
    219,982/303,575.36 = 119,380/x
  3. Step 3: Cross multiply
    219,982x = 303,575.36 × 119,380
  4. Step 4: Simplify right side
    219,982x = 36,240,826,476.80
  5. Step 5: Solve for x
    x = 36,240,826,476.80/219,982
  6. Step 6: Final answer
    x = 164,744.51

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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.