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Finding the Fourth Proportional to 278,689.64, 384,578.81 and 157,831.80

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Solution

The fourth proportional to 278,689.64, 384,578.81 and 157,831.80 is: 217,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,689.64 : 384,578.81 = 157,831.80 : x
  2. Step 2: Convert to fraction form
    278,689.64/384,578.81 = 157,831.80/x
  3. Step 3: Cross multiply
    278,689.64x = 384,578.81 × 157,831.80
  4. Step 4: Simplify right side
    278,689.64x = 60,698,764,776.57
  5. Step 5: Solve for x
    x = 60,698,764,776.57/278,689.64
  6. Step 6: Final answer
    x = 217,800.58

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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.