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Finding the Fourth Proportional to 442,997.80, 611,124.42 and 321,951.40

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Solution

The fourth proportional to 442,997.80, 611,124.42 and 321,951.40 is: 444,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,997.80 : 611,124.42 = 321,951.40 : x
  2. Step 2: Convert to fraction form
    442,997.80/611,124.42 = 321,951.40/x
  3. Step 3: Cross multiply
    442,997.80x = 611,124.42 × 321,951.40
  4. Step 4: Simplify right side
    442,997.80x = 196,752,362,593.19
  5. Step 5: Solve for x
    x = 196,752,362,593.19/442,997.80
  6. Step 6: Final answer
    x = 444,138.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.