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Finding the Fourth Proportional to 342,204.90, 472,245.75 and 189,235.14

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Solution

The fourth proportional to 342,204.90, 472,245.75 and 189,235.14 is: 261,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,204.90 : 472,245.75 = 189,235.14 : x
  2. Step 2: Convert to fraction form
    342,204.90/472,245.75 = 189,235.14/x
  3. Step 3: Cross multiply
    342,204.90x = 472,245.75 × 189,235.14
  4. Step 4: Simplify right side
    342,204.90x = 89,365,490,615.66
  5. Step 5: Solve for x
    x = 89,365,490,615.66/342,204.90
  6. Step 6: Final answer
    x = 261,146.15

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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.