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Finding the Fourth Proportional to 259,283.75, 388,991.24 and 72,295.25

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Solution

The fourth proportional to 259,283.75, 388,991.24 and 72,295.25 is: 108,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,283.75 : 388,991.24 = 72,295.25 : x
  2. Step 2: Convert to fraction form
    259,283.75/388,991.24 = 72,295.25/x
  3. Step 3: Cross multiply
    259,283.75x = 388,991.24 × 72,295.25
  4. Step 4: Simplify right side
    259,283.75x = 28,122,218,582.13
  5. Step 5: Solve for x
    x = 28,122,218,582.13/259,283.75
  6. Step 6: Final answer
    x = 108,461.17

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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.