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Finding the Fourth Proportional to 511,274.52, 705,589.65 and 281,831.49

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Solution

The fourth proportional to 511,274.52, 705,589.65 and 281,831.49 is: 388,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,274.52 : 705,589.65 = 281,831.49 : x
  2. Step 2: Convert to fraction form
    511,274.52/705,589.65 = 281,831.49/x
  3. Step 3: Cross multiply
    511,274.52x = 705,589.65 × 281,831.49
  4. Step 4: Simplify right side
    511,274.52x = 198,857,382,388.08
  5. Step 5: Solve for x
    x = 198,857,382,388.08/511,274.52
  6. Step 6: Final answer
    x = 388,944.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.