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Finding the Fourth Proportional to 613,828,540.52, 921,105,949.98 and 225,923,817.32

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Solution

The fourth proportional to 613,828,540.52, 921,105,949.98 and 225,923,817.32 is: 339,019,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,828,540.52 : 921,105,949.98 = 225,923,817.32 : x
  2. Step 2: Convert to fraction form
    613,828,540.52/921,105,949.98 = 225,923,817.32/x
  3. Step 3: Cross multiply
    613,828,540.52x = 921,105,949.98 × 225,923,817.32
  4. Step 4: Simplify right side
    613,828,540.52x = 208,099,772,375,646,560
  5. Step 5: Solve for x
    x = 208,099,772,375,646,560/613,828,540.52
  6. Step 6: Final answer
    x = 339,019,381.86

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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.