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Finding the Fourth Proportional to 258,720.80, 388,081.20 and 227,616.80

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Solution

The fourth proportional to 258,720.80, 388,081.20 and 227,616.80 is: 341,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720.80 : 388,081.20 = 227,616.80 : x
  2. Step 2: Convert to fraction form
    258,720.80/388,081.20 = 227,616.80/x
  3. Step 3: Cross multiply
    258,720.80x = 388,081.20 × 227,616.80
  4. Step 4: Simplify right side
    258,720.80x = 88,333,800,884.16
  5. Step 5: Solve for x
    x = 88,333,800,884.16/258,720.80
  6. Step 6: Final answer
    x = 341,425.20

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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.