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Finding the Fourth Proportional to 478,105.20, 716,825.70 and 211,720.50

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Solution

The fourth proportional to 478,105.20, 716,825.70 and 211,720.50 is: 317,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,105.20 : 716,825.70 = 211,720.50 : x
  2. Step 2: Convert to fraction form
    478,105.20/716,825.70 = 211,720.50/x
  3. Step 3: Cross multiply
    478,105.20x = 716,825.70 × 211,720.50
  4. Step 4: Simplify right side
    478,105.20x = 151,766,695,616.85
  5. Step 5: Solve for x
    x = 151,766,695,616.85/478,105.20
  6. Step 6: Final answer
    x = 317,433.69

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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.