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Finding the Fourth Proportional to 299,767,841.50, 413,552,947.80 and 200,680,509.10

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Solution

The fourth proportional to 299,767,841.50, 413,552,947.80 and 200,680,509.10 is: 276,854,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,767,841.50 : 413,552,947.80 = 200,680,509.10 : x
  2. Step 2: Convert to fraction form
    299,767,841.50/413,552,947.80 = 200,680,509.10/x
  3. Step 3: Cross multiply
    299,767,841.50x = 413,552,947.80 × 200,680,509.10
  4. Step 4: Simplify right side
    299,767,841.50x = 82,992,016,104,309,728
  5. Step 5: Solve for x
    x = 82,992,016,104,309,728/299,767,841.50
  6. Step 6: Final answer
    x = 276,854,300.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.