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Finding the Fourth Proportional to 226,393.21, 312,409.89 and 135,703.78

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Solution

The fourth proportional to 226,393.21, 312,409.89 and 135,703.78 is: 187,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,393.21 : 312,409.89 = 135,703.78 : x
  2. Step 2: Convert to fraction form
    226,393.21/312,409.89 = 135,703.78/x
  3. Step 3: Cross multiply
    226,393.21x = 312,409.89 × 135,703.78
  4. Step 4: Simplify right side
    226,393.21x = 42,395,202,982.38
  5. Step 5: Solve for x
    x = 42,395,202,982.38/226,393.21
  6. Step 6: Final answer
    x = 187,263.58

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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.