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Finding the Fourth Proportional to 201,659,385.90, 302,489,078.85 and 199,746,198.30

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Solution

The fourth proportional to 201,659,385.90, 302,489,078.85 and 199,746,198.30 is: 299,619,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659,385.90 : 302,489,078.85 = 199,746,198.30 : x
  2. Step 2: Convert to fraction form
    201,659,385.90/302,489,078.85 = 199,746,198.30/x
  3. Step 3: Cross multiply
    201,659,385.90x = 302,489,078.85 × 199,746,198.30
  4. Step 4: Simplify right side
    201,659,385.90x = 60,421,043,527,556,448
  5. Step 5: Solve for x
    x = 60,421,043,527,556,448/201,659,385.90
  6. Step 6: Final answer
    x = 299,619,297.45

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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.