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Finding the Fourth Proportional to 225,313, 310,932.22 and 140,430

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Solution

The fourth proportional to 225,313, 310,932.22 and 140,430 is: 193,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,313 : 310,932.22 = 140,430 : x
  2. Step 2: Convert to fraction form
    225,313/310,932.22 = 140,430/x
  3. Step 3: Cross multiply
    225,313x = 310,932.22 × 140,430
  4. Step 4: Simplify right side
    225,313x = 43,664,211,654.60
  5. Step 5: Solve for x
    x = 43,664,211,654.60/225,313
  6. Step 6: Final answer
    x = 193,793.57

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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.