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Finding the Fourth Proportional to 442,993.80, 664,490.70 and 206,360.40

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Solution

The fourth proportional to 442,993.80, 664,490.70 and 206,360.40 is: 309,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.80 : 664,490.70 = 206,360.40 : x
  2. Step 2: Convert to fraction form
    442,993.80/664,490.70 = 206,360.40/x
  3. Step 3: Cross multiply
    442,993.80x = 664,490.70 × 206,360.40
  4. Step 4: Simplify right side
    442,993.80x = 137,124,566,648.28
  5. Step 5: Solve for x
    x = 137,124,566,648.28/442,993.80
  6. Step 6: Final answer
    x = 309,540.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.