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Finding the Fourth Proportional to 394,126.32, 591,194.34 and 113,646

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Solution

The fourth proportional to 394,126.32, 591,194.34 and 113,646 is: 170,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,126.32 : 591,194.34 = 113,646 : x
  2. Step 2: Convert to fraction form
    394,126.32/591,194.34 = 113,646/x
  3. Step 3: Cross multiply
    394,126.32x = 591,194.34 × 113,646
  4. Step 4: Simplify right side
    394,126.32x = 67,186,871,963.64
  5. Step 5: Solve for x
    x = 67,186,871,963.64/394,126.32
  6. Step 6: Final answer
    x = 170,470.40

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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.