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Finding the Fourth Proportional to 230,335.21, 317,862.90 and 128,358.43

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Solution

The fourth proportional to 230,335.21, 317,862.90 and 128,358.43 is: 177,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,335.21 : 317,862.90 = 128,358.43 : x
  2. Step 2: Convert to fraction form
    230,335.21/317,862.90 = 128,358.43/x
  3. Step 3: Cross multiply
    230,335.21x = 317,862.90 × 128,358.43
  4. Step 4: Simplify right side
    230,335.21x = 40,800,382,799.25
  5. Step 5: Solve for x
    x = 40,800,382,799.25/230,335.21
  6. Step 6: Final answer
    x = 177,134.81

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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.