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Finding the Fourth Proportional to 394,430.70, 591,745.53 and 110,121

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Solution

The fourth proportional to 394,430.70, 591,745.53 and 110,121 is: 165,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,430.70 : 591,745.53 = 110,121 : x
  2. Step 2: Convert to fraction form
    394,430.70/591,745.53 = 110,121/x
  3. Step 3: Cross multiply
    394,430.70x = 591,745.53 × 110,121
  4. Step 4: Simplify right side
    394,430.70x = 65,163,609,509.13
  5. Step 5: Solve for x
    x = 65,163,609,509.13/394,430.70
  6. Step 6: Final answer
    x = 165,209.27

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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.