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Finding the Fourth Proportional to 521,702.70, 782,262.45 and 222,132.30

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Solution

The fourth proportional to 521,702.70, 782,262.45 and 222,132.30 is: 333,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,702.70 : 782,262.45 = 222,132.30 : x
  2. Step 2: Convert to fraction form
    521,702.70/782,262.45 = 222,132.30/x
  3. Step 3: Cross multiply
    521,702.70x = 782,262.45 × 222,132.30
  4. Step 4: Simplify right side
    521,702.70x = 173,765,757,222.14
  5. Step 5: Solve for x
    x = 173,765,757,222.14/521,702.70
  6. Step 6: Final answer
    x = 333,074.29

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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.