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Finding the Fourth Proportional to 551,911.20, 827,866.80 and 509,920.80

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Solution

The fourth proportional to 551,911.20, 827,866.80 and 509,920.80 is: 764,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,911.20 : 827,866.80 = 509,920.80 : x
  2. Step 2: Convert to fraction form
    551,911.20/827,866.80 = 509,920.80/x
  3. Step 3: Cross multiply
    551,911.20x = 827,866.80 × 509,920.80
  4. Step 4: Simplify right side
    551,911.20x = 422,146,500,949.44
  5. Step 5: Solve for x
    x = 422,146,500,949.44/551,911.20
  6. Step 6: Final answer
    x = 764,881.20

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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.