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Finding the Fourth Proportional to 220,286, 304,020.60 and 130,862

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Solution

The fourth proportional to 220,286, 304,020.60 and 130,862 is: 180,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,286 : 304,020.60 = 130,862 : x
  2. Step 2: Convert to fraction form
    220,286/304,020.60 = 130,862/x
  3. Step 3: Cross multiply
    220,286x = 304,020.60 × 130,862
  4. Step 4: Simplify right side
    220,286x = 39,784,743,757.20
  5. Step 5: Solve for x
    x = 39,784,743,757.20/220,286
  6. Step 6: Final answer
    x = 180,604.96

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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.