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Finding the Fourth Proportional to 394,178.40, 591,196 and 138,048.56

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Solution

The fourth proportional to 394,178.40, 591,196 and 138,048.56 is: 207,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,178.40 : 591,196 = 138,048.56 : x
  2. Step 2: Convert to fraction form
    394,178.40/591,196 = 138,048.56/x
  3. Step 3: Cross multiply
    394,178.40x = 591,196 × 138,048.56
  4. Step 4: Simplify right side
    394,178.40x = 81,613,756,477.76
  5. Step 5: Solve for x
    x = 81,613,756,477.76/394,178.40
  6. Step 6: Final answer
    x = 207,047.76

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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.