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Finding the Fourth Proportional to 226,429, 312,392.37 and 135,814.30

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Solution

The fourth proportional to 226,429, 312,392.37 and 135,814.30 is: 187,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,429 : 312,392.37 = 135,814.30 : x
  2. Step 2: Convert to fraction form
    226,429/312,392.37 = 135,814.30/x
  3. Step 3: Cross multiply
    226,429x = 312,392.37 × 135,814.30
  4. Step 4: Simplify right side
    226,429x = 42,427,351,056.89
  5. Step 5: Solve for x
    x = 42,427,351,056.89/226,429
  6. Step 6: Final answer
    x = 187,375.96

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1.5x scale

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.