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Finding the Fourth Proportional to 222,422.88, 305,948.16 and 195,064.32

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Solution

The fourth proportional to 222,422.88, 305,948.16 and 195,064.32 is: 268,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,422.88 : 305,948.16 = 195,064.32 : x
  2. Step 2: Convert to fraction form
    222,422.88/305,948.16 = 195,064.32/x
  3. Step 3: Cross multiply
    222,422.88x = 305,948.16 × 195,064.32
  4. Step 4: Simplify right side
    222,422.88x = 59,679,569,785.65
  5. Step 5: Solve for x
    x = 59,679,569,785.65/222,422.88
  6. Step 6: Final answer
    x = 268,315.79

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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.