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Finding the Fourth Proportional to 225,310.51, 310,928.78 and 140,427.50

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Solution

The fourth proportional to 225,310.51, 310,928.78 and 140,427.50 is: 193,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,310.51 : 310,928.78 = 140,427.50 : x
  2. Step 2: Convert to fraction form
    225,310.51/310,928.78 = 140,427.50/x
  3. Step 3: Cross multiply
    225,310.51x = 310,928.78 × 140,427.50
  4. Step 4: Simplify right side
    225,310.51x = 43,662,950,551.31
  5. Step 5: Solve for x
    x = 43,662,950,551.31/225,310.51
  6. Step 6: Final answer
    x = 193,790.12

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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.