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Finding the Fourth Proportional to 295,320.78, 407,325.11 and 222,726.70

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Solution

The fourth proportional to 295,320.78, 407,325.11 and 222,726.70 is: 307,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,320.78 : 407,325.11 = 222,726.70 : x
  2. Step 2: Convert to fraction form
    295,320.78/407,325.11 = 222,726.70/x
  3. Step 3: Cross multiply
    295,320.78x = 407,325.11 × 222,726.70
  4. Step 4: Simplify right side
    295,320.78x = 90,722,177,577.44
  5. Step 5: Solve for x
    x = 90,722,177,577.44/295,320.78
  6. Step 6: Final answer
    x = 307,198.76

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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.