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Finding the Fourth Proportional to 342,493.55, 472,629.48 and 189,538.21

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Solution

The fourth proportional to 342,493.55, 472,629.48 and 189,538.21 is: 261,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,493.55 : 472,629.48 = 189,538.21 : x
  2. Step 2: Convert to fraction form
    342,493.55/472,629.48 = 189,538.21/x
  3. Step 3: Cross multiply
    342,493.55x = 472,629.48 × 189,538.21
  4. Step 4: Simplify right side
    342,493.55x = 89,581,343,269.28
  5. Step 5: Solve for x
    x = 89,581,343,269.28/342,493.55
  6. Step 6: Final answer
    x = 261,556.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.