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Finding the Fourth Proportional to 674,821,326, 930,987,257.40 and 423,778,064.88

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Solution

The fourth proportional to 674,821,326, 930,987,257.40 and 423,778,064.88 is: 584,646,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,821,326 : 930,987,257.40 = 423,778,064.88 : x
  2. Step 2: Convert to fraction form
    674,821,326/930,987,257.40 = 423,778,064.88/x
  3. Step 3: Cross multiply
    674,821,326x = 930,987,257.40 × 423,778,064.88
  4. Step 4: Simplify right side
    674,821,326x = 394,531,978,368,910,464
  5. Step 5: Solve for x
    x = 394,531,978,368,910,464/674,821,326
  6. Step 6: Final answer
    x = 584,646,577.05

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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.