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Finding the Fourth Proportional to 442,674.40, 664,357.20 and 206,046.40

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Solution

The fourth proportional to 442,674.40, 664,357.20 and 206,046.40 is: 309,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,674.40 : 664,357.20 = 206,046.40 : x
  2. Step 2: Convert to fraction form
    442,674.40/664,357.20 = 206,046.40/x
  3. Step 3: Cross multiply
    442,674.40x = 664,357.20 × 206,046.40
  4. Step 4: Simplify right side
    442,674.40x = 136,888,409,374.08
  5. Step 5: Solve for x
    x = 136,888,409,374.08/442,674.40
  6. Step 6: Final answer
    x = 309,230.46

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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.