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Finding the Fourth Proportional to 442,991.40, 663,721.65 and 205,847.70

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Solution

The fourth proportional to 442,991.40, 663,721.65 and 205,847.70 is: 308,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,991.40 : 663,721.65 = 205,847.70 : x
  2. Step 2: Convert to fraction form
    442,991.40/663,721.65 = 205,847.70/x
  3. Step 3: Cross multiply
    442,991.40x = 663,721.65 × 205,847.70
  4. Step 4: Simplify right side
    442,991.40x = 136,625,575,092.71
  5. Step 5: Solve for x
    x = 136,625,575,092.71/442,991.40
  6. Step 6: Final answer
    x = 308,415.86

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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.