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Finding the Fourth Proportional to 303,696,431.80, 455,544,647.70 and 200,384,301.40

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Solution

The fourth proportional to 303,696,431.80, 455,544,647.70 and 200,384,301.40 is: 300,576,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696,431.80 : 455,544,647.70 = 200,384,301.40 : x
  2. Step 2: Convert to fraction form
    303,696,431.80/455,544,647.70 = 200,384,301.40/x
  3. Step 3: Cross multiply
    303,696,431.80x = 455,544,647.70 × 200,384,301.40
  4. Step 4: Simplify right side
    303,696,431.80x = 91,283,995,985,873,616
  5. Step 5: Solve for x
    x = 91,283,995,985,873,616/303,696,431.80
  6. Step 6: Final answer
    x = 300,576,452.10

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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.