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Finding the Fourth Proportional to 342,129.66, 472,119.91 and 189,158.95

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Solution

The fourth proportional to 342,129.66, 472,119.91 and 189,158.95 is: 261,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,129.66 : 472,119.91 = 189,158.95 : x
  2. Step 2: Convert to fraction form
    342,129.66/472,119.91 = 189,158.95/x
  3. Step 3: Cross multiply
    342,129.66x = 472,119.91 × 189,158.95
  4. Step 4: Simplify right side
    342,129.66x = 89,305,706,449.69
  5. Step 5: Solve for x
    x = 89,305,706,449.69/342,129.66
  6. Step 6: Final answer
    x = 261,028.83

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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.