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Finding the Fourth Proportional to 522,137.80, 782,040.30 and 428,825.80

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Solution

The fourth proportional to 522,137.80, 782,040.30 and 428,825.80 is: 642,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,137.80 : 782,040.30 = 428,825.80 : x
  2. Step 2: Convert to fraction form
    522,137.80/782,040.30 = 428,825.80/x
  3. Step 3: Cross multiply
    522,137.80x = 782,040.30 × 428,825.80
  4. Step 4: Simplify right side
    522,137.80x = 335,359,057,279.74
  5. Step 5: Solve for x
    x = 335,359,057,279.74/522,137.80
  6. Step 6: Final answer
    x = 642,280.75

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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.