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Finding the Fourth Proportional to 226,428.50, 312,391.68 and 135,813.80

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Solution

The fourth proportional to 226,428.50, 312,391.68 and 135,813.80 is: 187,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,428.50 : 312,391.68 = 135,813.80 : x
  2. Step 2: Convert to fraction form
    226,428.50/312,391.68 = 135,813.80/x
  3. Step 3: Cross multiply
    226,428.50x = 312,391.68 × 135,813.80
  4. Step 4: Simplify right side
    226,428.50x = 42,427,101,149.18
  5. Step 5: Solve for x
    x = 42,427,101,149.18/226,428.50
  6. Step 6: Final answer
    x = 187,375.27

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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.