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Finding the Fourth Proportional to 394,430.94, 591,369.39 and 138,200.76

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Solution

The fourth proportional to 394,430.94, 591,369.39 and 138,200.76 is: 207,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,430.94 : 591,369.39 = 138,200.76 : x
  2. Step 2: Convert to fraction form
    394,430.94/591,369.39 = 138,200.76/x
  3. Step 3: Cross multiply
    394,430.94x = 591,369.39 × 138,200.76
  4. Step 4: Simplify right side
    394,430.94x = 81,727,699,138.74
  5. Step 5: Solve for x
    x = 81,727,699,138.74/394,430.94
  6. Step 6: Final answer
    x = 207,204.08

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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.