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Finding the Fourth Proportional to 342,093.87, 472,069.17 and 189,122.90

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Solution

The fourth proportional to 342,093.87, 472,069.17 and 189,122.90 is: 260,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,093.87 : 472,069.17 = 189,122.90 : x
  2. Step 2: Convert to fraction form
    342,093.87/472,069.17 = 189,122.90/x
  3. Step 3: Cross multiply
    342,093.87x = 472,069.17 × 189,122.90
  4. Step 4: Simplify right side
    342,093.87x = 89,279,088,070.65
  5. Step 5: Solve for x
    x = 89,279,088,070.65/342,093.87
  6. Step 6: Final answer
    x = 260,978.33

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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.