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Finding the Fourth Proportional to 625,489,796.32, 938,289,223.68 and 205,185,149.46

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Solution

The fourth proportional to 625,489,796.32, 938,289,223.68 and 205,185,149.46 is: 307,795,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,489,796.32 : 938,289,223.68 = 205,185,149.46 : x
  2. Step 2: Convert to fraction form
    625,489,796.32/938,289,223.68 = 205,185,149.46/x
  3. Step 3: Cross multiply
    625,489,796.32x = 938,289,223.68 × 205,185,149.46
  4. Step 4: Simplify right side
    625,489,796.32x = 192,523,014,596,718,720
  5. Step 5: Solve for x
    x = 192,523,014,596,718,720/625,489,796.32
  6. Step 6: Final answer
    x = 307,795,611.90

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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.