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Finding the Fourth Proportional to 342,467.70, 472,398.78 and 226,181.87

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Solution

The fourth proportional to 342,467.70, 472,398.78 and 226,181.87 is: 311,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,467.70 : 472,398.78 = 226,181.87 : x
  2. Step 2: Convert to fraction form
    342,467.70/472,398.78 = 226,181.87/x
  3. Step 3: Cross multiply
    342,467.70x = 472,398.78 × 226,181.87
  4. Step 4: Simplify right side
    342,467.70x = 106,848,039,446.12
  5. Step 5: Solve for x
    x = 106,848,039,446.12/342,467.70
  6. Step 6: Final answer
    x = 311,994.50

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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.