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Finding the Fourth Proportional to 222,428.42, 333,642.47 and 89,308.61

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Solution

The fourth proportional to 222,428.42, 333,642.47 and 89,308.61 is: 133,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.42 : 333,642.47 = 89,308.61 : x
  2. Step 2: Convert to fraction form
    222,428.42/333,642.47 = 89,308.61/x
  3. Step 3: Cross multiply
    222,428.42x = 333,642.47 × 89,308.61
  4. Step 4: Simplify right side
    222,428.42x = 29,797,145,843.50
  5. Step 5: Solve for x
    x = 29,797,145,843.50/222,428.42
  6. Step 6: Final answer
    x = 133,962.86

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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.