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Finding the Fourth Proportional to 694,597, 1,041,970.22 and 221,171.64

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Solution

The fourth proportional to 694,597, 1,041,970.22 and 221,171.64 is: 331,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,597 : 1,041,970.22 = 221,171.64 : x
  2. Step 2: Convert to fraction form
    694,597/1,041,970.22 = 221,171.64/x
  3. Step 3: Cross multiply
    694,597x = 1,041,970.22 × 221,171.64
  4. Step 4: Simplify right side
    694,597x = 230,454,262,388.56
  5. Step 5: Solve for x
    x = 230,454,262,388.56/694,597
  6. Step 6: Final answer
    x = 331,781.25

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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.