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Finding the Fourth Proportional to 364,409.70, 502,799.82 and 221,166.42

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Solution

The fourth proportional to 364,409.70, 502,799.82 and 221,166.42 is: 305,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,409.70 : 502,799.82 = 221,166.42 : x
  2. Step 2: Convert to fraction form
    364,409.70/502,799.82 = 221,166.42/x
  3. Step 3: Cross multiply
    364,409.70x = 502,799.82 × 221,166.42
  4. Step 4: Simplify right side
    364,409.70x = 111,202,436,166.04
  5. Step 5: Solve for x
    x = 111,202,436,166.04/364,409.70
  6. Step 6: Final answer
    x = 305,157.73

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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.