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Finding the Fourth Proportional to 408,989.80, 564,392.10 and 230,107.24

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Solution

The fourth proportional to 408,989.80, 564,392.10 and 230,107.24 is: 317,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,989.80 : 564,392.10 = 230,107.24 : x
  2. Step 2: Convert to fraction form
    408,989.80/564,392.10 = 230,107.24/x
  3. Step 3: Cross multiply
    408,989.80x = 564,392.10 × 230,107.24
  4. Step 4: Simplify right side
    408,989.80x = 129,870,708,408.80
  5. Step 5: Solve for x
    x = 129,870,708,408.80/408,989.80
  6. Step 6: Final answer
    x = 317,540.21

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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.