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Finding the Fourth Proportional to 442,993.80, 664,490.70 and 408,779.40

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Solution

The fourth proportional to 442,993.80, 664,490.70 and 408,779.40 is: 613,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.80 : 664,490.70 = 408,779.40 : x
  2. Step 2: Convert to fraction form
    442,993.80/664,490.70 = 408,779.40/x
  3. Step 3: Cross multiply
    442,993.80x = 664,490.70 × 408,779.40
  4. Step 4: Simplify right side
    442,993.80x = 271,630,109,651.58
  5. Step 5: Solve for x
    x = 271,630,109,651.58/442,993.80
  6. Step 6: Final answer
    x = 613,169.10

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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.