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Finding the Fourth Proportional to 342,418.33, 513,495.20 and 117,736.21

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Solution

The fourth proportional to 342,418.33, 513,495.20 and 117,736.21 is: 176,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,418.33 : 513,495.20 = 117,736.21 : x
  2. Step 2: Convert to fraction form
    342,418.33/513,495.20 = 117,736.21/x
  3. Step 3: Cross multiply
    342,418.33x = 513,495.20 × 117,736.21
  4. Step 4: Simplify right side
    342,418.33x = 60,456,978,112.51
  5. Step 5: Solve for x
    x = 60,456,978,112.51/342,418.33
  6. Step 6: Final answer
    x = 176,558.83

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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.