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Finding the Fourth Proportional to 522,772.20, 782,408.70 and 459,786.60

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Solution

The fourth proportional to 522,772.20, 782,408.70 and 459,786.60 is: 688,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,772.20 : 782,408.70 = 459,786.60 : x
  2. Step 2: Convert to fraction form
    522,772.20/782,408.70 = 459,786.60/x
  3. Step 3: Cross multiply
    522,772.20x = 782,408.70 × 459,786.60
  4. Step 4: Simplify right side
    522,772.20x = 359,741,035,983.42
  5. Step 5: Solve for x
    x = 359,741,035,983.42/522,772.20
  6. Step 6: Final answer
    x = 688,141.10

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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.