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Finding the Fourth Proportional to 261,816.44, 392,716.82 and 72,288.39

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Solution

The fourth proportional to 261,816.44, 392,716.82 and 72,288.39 is: 108,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,816.44 : 392,716.82 = 72,288.39 : x
  2. Step 2: Convert to fraction form
    261,816.44/392,716.82 = 72,288.39/x
  3. Step 3: Cross multiply
    261,816.44x = 392,716.82 × 72,288.39
  4. Step 4: Simplify right side
    261,816.44x = 28,388,866,282.28
  5. Step 5: Solve for x
    x = 28,388,866,282.28/261,816.44
  6. Step 6: Final answer
    x = 108,430.42

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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.