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Finding the Fourth Proportional to 509,285.88, 762,766.20 and 243,233.82

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Solution

The fourth proportional to 509,285.88, 762,766.20 and 243,233.82 is: 364,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,285.88 : 762,766.20 = 243,233.82 : x
  2. Step 2: Convert to fraction form
    509,285.88/762,766.20 = 243,233.82/x
  3. Step 3: Cross multiply
    509,285.88x = 762,766.20 × 243,233.82
  4. Step 4: Simplify right side
    509,285.88x = 185,530,536,592.88
  5. Step 5: Solve for x
    x = 185,530,536,592.88/509,285.88
  6. Step 6: Final answer
    x = 364,295.47

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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.