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Finding the Fourth Proportional to 259,385.40, 388,862.10 and 109,740.60

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Solution

The fourth proportional to 259,385.40, 388,862.10 and 109,740.60 is: 164,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,385.40 : 388,862.10 = 109,740.60 : x
  2. Step 2: Convert to fraction form
    259,385.40/388,862.10 = 109,740.60/x
  3. Step 3: Cross multiply
    259,385.40x = 388,862.10 × 109,740.60
  4. Step 4: Simplify right side
    259,385.40x = 42,673,960,171.26
  5. Step 5: Solve for x
    x = 42,673,960,171.26/259,385.40
  6. Step 6: Final answer
    x = 164,519.51

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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.