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Finding the Fourth Proportional to 258,548.40, 388,114.20 and 199,645.20

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Solution

The fourth proportional to 258,548.40, 388,114.20 and 199,645.20 is: 299,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,548.40 : 388,114.20 = 199,645.20 : x
  2. Step 2: Convert to fraction form
    258,548.40/388,114.20 = 199,645.20/x
  3. Step 3: Cross multiply
    258,548.40x = 388,114.20 × 199,645.20
  4. Step 4: Simplify right side
    258,548.40x = 77,485,137,081.84
  5. Step 5: Solve for x
    x = 77,485,137,081.84/258,548.40
  6. Step 6: Final answer
    x = 299,692.97

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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.