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Finding the Fourth Proportional to 394,113.81, 591,148.85 and 350,242.59

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Solution

The fourth proportional to 394,113.81, 591,148.85 and 350,242.59 is: 525,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,113.81 : 591,148.85 = 350,242.59 : x
  2. Step 2: Convert to fraction form
    394,113.81/591,148.85 = 350,242.59/x
  3. Step 3: Cross multiply
    394,113.81x = 591,148.85 × 350,242.59
  4. Step 4: Simplify right side
    394,113.81x = 207,045,504,765.12
  5. Step 5: Solve for x
    x = 207,045,504,765.12/394,113.81
  6. Step 6: Final answer
    x = 525,344.45

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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.