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Finding the Fourth Proportional to 314,928,796.80, 472,393,195.20 and 200,043,062.40

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Solution

The fourth proportional to 314,928,796.80, 472,393,195.20 and 200,043,062.40 is: 300,064,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,796.80 : 472,393,195.20 = 200,043,062.40 : x
  2. Step 2: Convert to fraction form
    314,928,796.80/472,393,195.20 = 200,043,062.40/x
  3. Step 3: Cross multiply
    314,928,796.80x = 472,393,195.20 × 200,043,062.40
  4. Step 4: Simplify right side
    314,928,796.80x = 94,498,981,424,728,976
  5. Step 5: Solve for x
    x = 94,498,981,424,728,976/314,928,796.80
  6. Step 6: Final answer
    x = 300,064,593.60

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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.