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Finding the Fourth Proportional to 230,414.50, 317,967.45 and 128,433.88

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Solution

The fourth proportional to 230,414.50, 317,967.45 and 128,433.88 is: 177,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,414.50 : 317,967.45 = 128,433.88 : x
  2. Step 2: Convert to fraction form
    230,414.50/317,967.45 = 128,433.88/x
  3. Step 3: Cross multiply
    230,414.50x = 317,967.45 × 128,433.88
  4. Step 4: Simplify right side
    230,414.50x = 40,837,793,317.21
  5. Step 5: Solve for x
    x = 40,837,793,317.21/230,414.50
  6. Step 6: Final answer
    x = 177,236.21

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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.