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Finding the Fourth Proportional to 393,221.42, 589,734.92 and 168,556.40

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Solution

The fourth proportional to 393,221.42, 589,734.92 and 168,556.40 is: 252,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,221.42 : 589,734.92 = 168,556.40 : x
  2. Step 2: Convert to fraction form
    393,221.42/589,734.92 = 168,556.40/x
  3. Step 3: Cross multiply
    393,221.42x = 589,734.92 × 168,556.40
  4. Step 4: Simplify right side
    393,221.42x = 99,403,595,069.49
  5. Step 5: Solve for x
    x = 99,403,595,069.49/393,221.42
  6. Step 6: Final answer
    x = 252,792.93

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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.