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Finding the Fourth Proportional to 200,709,743.20, 301,064,614.80 and 193,056,992.80

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Solution

The fourth proportional to 200,709,743.20, 301,064,614.80 and 193,056,992.80 is: 289,585,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709,743.20 : 301,064,614.80 = 193,056,992.80 : x
  2. Step 2: Convert to fraction form
    200,709,743.20/301,064,614.80 = 193,056,992.80/x
  3. Step 3: Cross multiply
    200,709,743.20x = 301,064,614.80 × 193,056,992.80
  4. Step 4: Simplify right side
    200,709,743.20x = 58,122,629,171,778,376
  5. Step 5: Solve for x
    x = 58,122,629,171,778,376/200,709,743.20
  6. Step 6: Final answer
    x = 289,585,489.20

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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.