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Finding the Fourth Proportional to 299,767,874.20, 413,552,992.80 and 200,680,541.80

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Solution

The fourth proportional to 299,767,874.20, 413,552,992.80 and 200,680,541.80 is: 276,854,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,767,874.20 : 413,552,992.80 = 200,680,541.80 : x
  2. Step 2: Convert to fraction form
    299,767,874.20/413,552,992.80 = 200,680,541.80/x
  3. Step 3: Cross multiply
    299,767,874.20x = 413,552,992.80 × 200,680,541.80
  4. Step 4: Simplify right side
    299,767,874.20x = 82,992,038,658,115,504
  5. Step 5: Solve for x
    x = 82,992,038,658,115,504/299,767,874.20
  6. Step 6: Final answer
    x = 276,854,345.65

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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.