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Finding the Fourth Proportional to 522,081.70, 782,830.95 and 222,511.30

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Solution

The fourth proportional to 522,081.70, 782,830.95 and 222,511.30 is: 333,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,081.70 : 782,830.95 = 222,511.30 : x
  2. Step 2: Convert to fraction form
    522,081.70/782,830.95 = 222,511.30/x
  3. Step 3: Cross multiply
    522,081.70x = 782,830.95 × 222,511.30
  4. Step 4: Simplify right side
    522,081.70x = 174,188,732,364.74
  5. Step 5: Solve for x
    x = 174,188,732,364.74/522,081.70
  6. Step 6: Final answer
    x = 333,642.67

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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.