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Finding the Fourth Proportional to 342,157.20, 472,157.82 and 189,186.54

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Solution

The fourth proportional to 342,157.20, 472,157.82 and 189,186.54 is: 261,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,157.20 : 472,157.82 = 189,186.54 : x
  2. Step 2: Convert to fraction form
    342,157.20/472,157.82 = 189,186.54/x
  3. Step 3: Cross multiply
    342,157.20x = 472,157.82 × 189,186.54
  4. Step 4: Simplify right side
    342,157.20x = 89,325,904,299.74
  5. Step 5: Solve for x
    x = 89,325,904,299.74/342,157.20
  6. Step 6: Final answer
    x = 261,066.86

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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.