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Finding the Fourth Proportional to 255,287.87, 381,865.19 and 179,381.07

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Solution

The fourth proportional to 255,287.87, 381,865.19 and 179,381.07 is: 268,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.87 : 381,865.19 = 179,381.07 : x
  2. Step 2: Convert to fraction form
    255,287.87/381,865.19 = 179,381.07/x
  3. Step 3: Cross multiply
    255,287.87x = 381,865.19 × 179,381.07
  4. Step 4: Simplify right side
    255,287.87x = 68,499,387,571.23
  5. Step 5: Solve for x
    x = 68,499,387,571.23/255,287.87
  6. Step 6: Final answer
    x = 268,322.14

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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.