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Finding the Fourth Proportional to 220,338, 304,092.36 and 130,914

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Solution

The fourth proportional to 220,338, 304,092.36 and 130,914 is: 180,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,338 : 304,092.36 = 130,914 : x
  2. Step 2: Convert to fraction form
    220,338/304,092.36 = 130,914/x
  3. Step 3: Cross multiply
    220,338x = 304,092.36 × 130,914
  4. Step 4: Simplify right side
    220,338x = 39,809,947,217.04
  5. Step 5: Solve for x
    x = 39,809,947,217.04/220,338
  6. Step 6: Final answer
    x = 180,676.72

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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.