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Finding the Fourth Proportional to 394,017.32, 591,109.02 and 127,757.08

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Solution

The fourth proportional to 394,017.32, 591,109.02 and 127,757.08 is: 191,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,017.32 : 591,109.02 = 127,757.08 : x
  2. Step 2: Convert to fraction form
    394,017.32/591,109.02 = 127,757.08/x
  3. Step 3: Cross multiply
    394,017.32x = 591,109.02 × 127,757.08
  4. Step 4: Simplify right side
    394,017.32x = 75,518,362,356.86
  5. Step 5: Solve for x
    x = 75,518,362,356.86/394,017.32
  6. Step 6: Final answer
    x = 191,662.55

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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.