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Finding the Fourth Proportional to 394,254.32, 591,385.80 and 113,774

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Solution

The fourth proportional to 394,254.32, 591,385.80 and 113,774 is: 170,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,254.32 : 591,385.80 = 113,774 : x
  2. Step 2: Convert to fraction form
    394,254.32/591,385.80 = 113,774/x
  3. Step 3: Cross multiply
    394,254.32x = 591,385.80 × 113,774
  4. Step 4: Simplify right side
    394,254.32x = 67,284,328,009.20
  5. Step 5: Solve for x
    x = 67,284,328,009.20/394,254.32
  6. Step 6: Final answer
    x = 170,662.25

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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.