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Finding the Fourth Proportional to 522,772.20, 782,408.70 and 365,308.20

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Solution

The fourth proportional to 522,772.20, 782,408.70 and 365,308.20 is: 546,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,772.20 : 782,408.70 = 365,308.20 : x
  2. Step 2: Convert to fraction form
    522,772.20/782,408.70 = 365,308.20/x
  3. Step 3: Cross multiply
    522,772.20x = 782,408.70 × 365,308.20
  4. Step 4: Simplify right side
    522,772.20x = 285,820,313,861.34
  5. Step 5: Solve for x
    x = 285,820,313,861.34/522,772.20
  6. Step 6: Final answer
    x = 546,739.70

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1.5x scale

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.