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Finding the Fourth Proportional to 259,439.74, 388,991.90 and 101,684.14

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Solution

The fourth proportional to 259,439.74, 388,991.90 and 101,684.14 is: 152,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,439.74 : 388,991.90 = 101,684.14 : x
  2. Step 2: Convert to fraction form
    259,439.74/388,991.90 = 101,684.14/x
  3. Step 3: Cross multiply
    259,439.74x = 388,991.90 × 101,684.14
  4. Step 4: Simplify right side
    259,439.74x = 39,554,306,100.20
  5. Step 5: Solve for x
    x = 39,554,306,100.20/259,439.74
  6. Step 6: Final answer
    x = 152,460.48

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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.