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Finding the Fourth Proportional to 226,376.40, 312,399.38 and 125,774.40

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Solution

The fourth proportional to 226,376.40, 312,399.38 and 125,774.40 is: 173,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,376.40 : 312,399.38 = 125,774.40 : x
  2. Step 2: Convert to fraction form
    226,376.40/312,399.38 = 125,774.40/x
  3. Step 3: Cross multiply
    226,376.40x = 312,399.38 × 125,774.40
  4. Step 4: Simplify right side
    226,376.40x = 39,291,844,579.87
  5. Step 5: Solve for x
    x = 39,291,844,579.87/226,376.40
  6. Step 6: Final answer
    x = 173,568.64

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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.