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Finding the Fourth Proportional to 303,696,559.80, 455,544,839.70 and 200,384,429.40

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Solution

The fourth proportional to 303,696,559.80, 455,544,839.70 and 200,384,429.40 is: 300,576,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696,559.80 : 455,544,839.70 = 200,384,429.40 : x
  2. Step 2: Convert to fraction form
    303,696,559.80/455,544,839.70 = 200,384,429.40/x
  3. Step 3: Cross multiply
    303,696,559.80x = 455,544,839.70 × 200,384,429.40
  4. Step 4: Simplify right side
    303,696,559.80x = 91,284,092,769,398,960
  5. Step 5: Solve for x
    x = 91,284,092,769,398,960/303,696,559.80
  6. Step 6: Final answer
    x = 300,576,644.10

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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.