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Finding the Fourth Proportional to 509,831.88, 703,568.42 and 280,392.81

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Solution

The fourth proportional to 509,831.88, 703,568.42 and 280,392.81 is: 386,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,831.88 : 703,568.42 = 280,392.81 : x
  2. Step 2: Convert to fraction form
    509,831.88/703,568.42 = 280,392.81/x
  3. Step 3: Cross multiply
    509,831.88x = 703,568.42 × 280,392.81
  4. Step 4: Simplify right side
    509,831.88x = 197,275,524,909.10
  5. Step 5: Solve for x
    x = 197,275,524,909.10/509,831.88
  6. Step 6: Final answer
    x = 386,942.31

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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.