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Finding the Fourth Proportional to 509,776.96, 764,791.22 and 253,731.52

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Solution

The fourth proportional to 509,776.96, 764,791.22 and 253,731.52 is: 380,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,776.96 : 764,791.22 = 253,731.52 : x
  2. Step 2: Convert to fraction form
    509,776.96/764,791.22 = 253,731.52/x
  3. Step 3: Cross multiply
    509,776.96x = 764,791.22 × 253,731.52
  4. Step 4: Simplify right side
    509,776.96x = 194,051,638,733.25
  5. Step 5: Solve for x
    x = 194,051,638,733.25/509,776.96
  6. Step 6: Final answer
    x = 380,659.88

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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.