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Finding the Fourth Proportional to 522,125.80, 782,022.30 and 428,813.80

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Solution

The fourth proportional to 522,125.80, 782,022.30 and 428,813.80 is: 642,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,125.80 : 782,022.30 = 428,813.80 : x
  2. Step 2: Convert to fraction form
    522,125.80/782,022.30 = 428,813.80/x
  3. Step 3: Cross multiply
    522,125.80x = 782,022.30 × 428,813.80
  4. Step 4: Simplify right side
    522,125.80x = 335,341,954,147.74
  5. Step 5: Solve for x
    x = 335,341,954,147.74/522,125.80
  6. Step 6: Final answer
    x = 642,262.75

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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.