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Finding the Fourth Proportional to 442,873.60, 664,310.40 and 206,677.60

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Solution

The fourth proportional to 442,873.60, 664,310.40 and 206,677.60 is: 310,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,873.60 : 664,310.40 = 206,677.60 : x
  2. Step 2: Convert to fraction form
    442,873.60/664,310.40 = 206,677.60/x
  3. Step 3: Cross multiply
    442,873.60x = 664,310.40 × 206,677.60
  4. Step 4: Simplify right side
    442,873.60x = 137,298,079,127.04
  5. Step 5: Solve for x
    x = 137,298,079,127.04/442,873.60
  6. Step 6: Final answer
    x = 310,016.40

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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.