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Finding the Fourth Proportional to 342,561.29, 472,731.12 and 189,599.81

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Solution

The fourth proportional to 342,561.29, 472,731.12 and 189,599.81 is: 261,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,561.29 : 472,731.12 = 189,599.81 : x
  2. Step 2: Convert to fraction form
    342,561.29/472,731.12 = 189,599.81/x
  3. Step 3: Cross multiply
    342,561.29x = 472,731.12 × 189,599.81
  4. Step 4: Simplify right side
    342,561.29x = 89,629,728,169.43
  5. Step 5: Solve for x
    x = 89,629,728,169.43/342,561.29
  6. Step 6: Final answer
    x = 261,645.82

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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.