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Finding the Fourth Proportional to 225,314.01, 310,933.61 and 140,431

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Solution

The fourth proportional to 225,314.01, 310,933.61 and 140,431 is: 193,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,314.01 : 310,933.61 = 140,431 : x
  2. Step 2: Convert to fraction form
    225,314.01/310,933.61 = 140,431/x
  3. Step 3: Cross multiply
    225,314.01x = 310,933.61 × 140,431
  4. Step 4: Simplify right side
    225,314.01x = 43,664,717,785.91
  5. Step 5: Solve for x
    x = 43,664,717,785.91/225,314.01
  6. Step 6: Final answer
    x = 193,794.95

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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.