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Finding the Fourth Proportional to 663,999.80, 996,129.30 and 284,919.80

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Solution

The fourth proportional to 663,999.80, 996,129.30 and 284,919.80 is: 427,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,999.80 : 996,129.30 = 284,919.80 : x
  2. Step 2: Convert to fraction form
    663,999.80/996,129.30 = 284,919.80/x
  3. Step 3: Cross multiply
    663,999.80x = 996,129.30 × 284,919.80
  4. Step 4: Simplify right side
    663,999.80x = 283,816,960,930.14
  5. Step 5: Solve for x
    x = 283,816,960,930.14/663,999.80
  6. Step 6: Final answer
    x = 427,435.31

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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.