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Finding the Fourth Proportional to 442,914.80, 664,372.20 and 206,281.40

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Solution

The fourth proportional to 442,914.80, 664,372.20 and 206,281.40 is: 309,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914.80 : 664,372.20 = 206,281.40 : x
  2. Step 2: Convert to fraction form
    442,914.80/664,372.20 = 206,281.40/x
  3. Step 3: Cross multiply
    442,914.80x = 664,372.20 × 206,281.40
  4. Step 4: Simplify right side
    442,914.80x = 137,047,627,537.08
  5. Step 5: Solve for x
    x = 137,047,627,537.08/442,914.80
  6. Step 6: Final answer
    x = 309,422.10

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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.