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Finding the Fourth Proportional to 342,194.72, 472,231.76 and 189,243.18

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Solution

The fourth proportional to 342,194.72, 472,231.76 and 189,243.18 is: 261,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,194.72 : 472,231.76 = 189,243.18 : x
  2. Step 2: Convert to fraction form
    342,194.72/472,231.76 = 189,243.18/x
  3. Step 3: Cross multiply
    342,194.72x = 472,231.76 × 189,243.18
  4. Step 4: Simplify right side
    342,194.72x = 89,366,639,013.18
  5. Step 5: Solve for x
    x = 89,366,639,013.18/342,194.72
  6. Step 6: Final answer
    x = 261,157.27

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1.5x scale

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.