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Finding the Fourth Proportional to 225,314, 310,933.60 and 140,431

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Solution

The fourth proportional to 225,314, 310,933.60 and 140,431 is: 193,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,314 : 310,933.60 = 140,431 : x
  2. Step 2: Convert to fraction form
    225,314/310,933.60 = 140,431/x
  3. Step 3: Cross multiply
    225,314x = 310,933.60 × 140,431
  4. Step 4: Simplify right side
    225,314x = 43,664,716,381.60
  5. Step 5: Solve for x
    x = 43,664,716,381.60/225,314
  6. Step 6: Final answer
    x = 193,794.95

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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.