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Finding the Fourth Proportional to 258,540.90, 388,102.95 and 199,637.70

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Solution

The fourth proportional to 258,540.90, 388,102.95 and 199,637.70 is: 299,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540.90 : 388,102.95 = 199,637.70 : x
  2. Step 2: Convert to fraction form
    258,540.90/388,102.95 = 199,637.70/x
  3. Step 3: Cross multiply
    258,540.90x = 388,102.95 × 199,637.70
  4. Step 4: Simplify right side
    258,540.90x = 77,479,980,301.22
  5. Step 5: Solve for x
    x = 77,479,980,301.22/258,540.90
  6. Step 6: Final answer
    x = 299,681.71

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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.