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Finding the Fourth Proportional to 442,924, 664,853.60 and 206,494.72

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Solution

The fourth proportional to 442,924, 664,853.60 and 206,494.72 is: 309,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,924 : 664,853.60 = 206,494.72 : x
  2. Step 2: Convert to fraction form
    442,924/664,853.60 = 206,494.72/x
  3. Step 3: Cross multiply
    442,924x = 664,853.60 × 206,494.72
  4. Step 4: Simplify right side
    442,924x = 137,288,757,972.99
  5. Step 5: Solve for x
    x = 137,288,757,972.99/442,924
  6. Step 6: Final answer
    x = 309,960.08

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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.