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Finding the Fourth Proportional to 342,468.70, 472,400.16 and 226,182.87

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Solution

The fourth proportional to 342,468.70, 472,400.16 and 226,182.87 is: 311,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,468.70 : 472,400.16 = 226,182.87 : x
  2. Step 2: Convert to fraction form
    342,468.70/472,400.16 = 226,182.87/x
  3. Step 3: Cross multiply
    342,468.70x = 472,400.16 × 226,182.87
  4. Step 4: Simplify right side
    342,468.70x = 106,848,823,977.26
  5. Step 5: Solve for x
    x = 106,848,823,977.26/342,468.70
  6. Step 6: Final answer
    x = 311,995.88

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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.