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Finding the Fourth Proportional to 522,793.20, 782,440.20 and 459,807.60

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Solution

The fourth proportional to 522,793.20, 782,440.20 and 459,807.60 is: 688,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,793.20 : 782,440.20 = 459,807.60 : x
  2. Step 2: Convert to fraction form
    522,793.20/782,440.20 = 459,807.60/x
  3. Step 3: Cross multiply
    522,793.20x = 782,440.20 × 459,807.60
  4. Step 4: Simplify right side
    522,793.20x = 359,771,950,505.52
  5. Step 5: Solve for x
    x = 359,771,950,505.52/522,793.20
  6. Step 6: Final answer
    x = 688,172.59

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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.