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Finding the Fourth Proportional to 342,132.64, 472,122.81 and 189,158.83

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Solution

The fourth proportional to 342,132.64, 472,122.81 and 189,158.83 is: 261,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,132.64 : 472,122.81 = 189,158.83 : x
  2. Step 2: Convert to fraction form
    342,132.64/472,122.81 = 189,158.83/x
  3. Step 3: Cross multiply
    342,132.64x = 472,122.81 × 189,158.83
  4. Step 4: Simplify right side
    342,132.64x = 89,306,198,355.91
  5. Step 5: Solve for x
    x = 89,306,198,355.91/342,132.64
  6. Step 6: Final answer
    x = 261,028.00

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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.