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Finding the Fourth Proportional to 509,199.52, 762,636.44 and 243,147.32

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Solution

The fourth proportional to 509,199.52, 762,636.44 and 243,147.32 is: 364,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,199.52 : 762,636.44 = 243,147.32 : x
  2. Step 2: Convert to fraction form
    509,199.52/762,636.44 = 243,147.32/x
  3. Step 3: Cross multiply
    509,199.52x = 762,636.44 × 243,147.32
  4. Step 4: Simplify right side
    509,199.52x = 185,433,006,520.34
  5. Step 5: Solve for x
    x = 185,433,006,520.34/509,199.52
  6. Step 6: Final answer
    x = 364,165.71

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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.