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Finding the Fourth Proportional to 230,385.64, 317,920.92 and 128,422.20

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Solution

The fourth proportional to 230,385.64, 317,920.92 and 128,422.20 is: 177,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,385.64 : 317,920.92 = 128,422.20 : x
  2. Step 2: Convert to fraction form
    230,385.64/317,920.92 = 128,422.20/x
  3. Step 3: Cross multiply
    230,385.64x = 317,920.92 × 128,422.20
  4. Step 4: Simplify right side
    230,385.64x = 40,828,103,972.42
  5. Step 5: Solve for x
    x = 40,828,103,972.42/230,385.64
  6. Step 6: Final answer
    x = 177,216.36

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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.