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Finding the Fourth Proportional to 342,102.10, 472,124.01 and 198,861.70

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Solution

The fourth proportional to 342,102.10, 472,124.01 and 198,861.70 is: 274,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102.10 : 472,124.01 = 198,861.70 : x
  2. Step 2: Convert to fraction form
    342,102.10/472,124.01 = 198,861.70/x
  3. Step 3: Cross multiply
    342,102.10x = 472,124.01 × 198,861.70
  4. Step 4: Simplify right side
    342,102.10x = 93,887,383,239.42
  5. Step 5: Solve for x
    x = 93,887,383,239.42/342,102.10
  6. Step 6: Final answer
    x = 274,442.58

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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.