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Finding the Fourth Proportional to 391,434.09, 587,244.56 and 138,736.67

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Solution

The fourth proportional to 391,434.09, 587,244.56 and 138,736.67 is: 208,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,434.09 : 587,244.56 = 138,736.67 : x
  2. Step 2: Convert to fraction form
    391,434.09/587,244.56 = 138,736.67/x
  3. Step 3: Cross multiply
    391,434.09x = 587,244.56 × 138,736.67
  4. Step 4: Simplify right side
    391,434.09x = 81,472,351,100.11
  5. Step 5: Solve for x
    x = 81,472,351,100.11/391,434.09
  6. Step 6: Final answer
    x = 208,138.11

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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.