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Finding the Fourth Proportional to 522,216.78, 783,379.71 and 222,729

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Solution

The fourth proportional to 522,216.78, 783,379.71 and 222,729 is: 334,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,216.78 : 783,379.71 = 222,729 : x
  2. Step 2: Convert to fraction form
    522,216.78/783,379.71 = 222,729/x
  3. Step 3: Cross multiply
    522,216.78x = 783,379.71 × 222,729
  4. Step 4: Simplify right side
    522,216.78x = 174,481,379,428.59
  5. Step 5: Solve for x
    x = 174,481,379,428.59/522,216.78
  6. Step 6: Final answer
    x = 334,116.76

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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.