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Finding the Fourth Proportional to 389,268, 583,824.20 and 108,787.68

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Solution

The fourth proportional to 389,268, 583,824.20 and 108,787.68 is: 163,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,268 : 583,824.20 = 108,787.68 : x
  2. Step 2: Convert to fraction form
    389,268/583,824.20 = 108,787.68/x
  3. Step 3: Cross multiply
    389,268x = 583,824.20 × 108,787.68
  4. Step 4: Simplify right side
    389,268x = 63,512,880,245.86
  5. Step 5: Solve for x
    x = 63,512,880,245.86/389,268
  6. Step 6: Final answer
    x = 163,159.78

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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.