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Finding the Fourth Proportional to 342,150.70, 472,148.84 and 189,180.04

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Solution

The fourth proportional to 342,150.70, 472,148.84 and 189,180.04 is: 261,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,150.70 : 472,148.84 = 189,180.04 : x
  2. Step 2: Convert to fraction form
    342,150.70/472,148.84 = 189,180.04/x
  3. Step 3: Cross multiply
    342,150.70x = 472,148.84 × 189,180.04
  4. Step 4: Simplify right side
    342,150.70x = 89,321,136,437.15
  5. Step 5: Solve for x
    x = 89,321,136,437.15/342,150.70
  6. Step 6: Final answer
    x = 261,057.88

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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.