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Finding the Fourth Proportional to 200,998,427.20, 300,859,911.60 and 200,998,427.20

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Solution

The fourth proportional to 200,998,427.20, 300,859,911.60 and 200,998,427.20 is: 300,859,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,998,427.20 : 300,859,911.60 = 200,998,427.20 : x
  2. Step 2: Convert to fraction form
    200,998,427.20/300,859,911.60 = 200,998,427.20/x
  3. Step 3: Cross multiply
    200,998,427.20x = 300,859,911.60 × 200,998,427.20
  4. Step 4: Simplify right side
    200,998,427.20x = 60,472,369,039,131,040
  5. Step 5: Solve for x
    x = 60,472,369,039,131,040/200,998,427.20
  6. Step 6: Final answer
    x = 300,859,911.60

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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.