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Finding the Fourth Proportional to 419,769,375.30, 579,283,751.96 and 231,597,658.49

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Solution

The fourth proportional to 419,769,375.30, 579,283,751.96 and 231,597,658.49 is: 319,605,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,769,375.30 : 579,283,751.96 = 231,597,658.49 : x
  2. Step 2: Convert to fraction form
    419,769,375.30/579,283,751.96 = 231,597,658.49/x
  3. Step 3: Cross multiply
    419,769,375.30x = 579,283,751.96 × 231,597,658.49
  4. Step 4: Simplify right side
    419,769,375.30x = 134,160,760,552,054,368
  5. Step 5: Solve for x
    x = 134,160,760,552,054,368/419,769,375.30
  6. Step 6: Final answer
    x = 319,605,879.91

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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.