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Finding the Fourth Proportional to 509,699.52, 764,496.63 and 172,731.42

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Solution

The fourth proportional to 509,699.52, 764,496.63 and 172,731.42 is: 259,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,699.52 : 764,496.63 = 172,731.42 : x
  2. Step 2: Convert to fraction form
    509,699.52/764,496.63 = 172,731.42/x
  3. Step 3: Cross multiply
    509,699.52x = 764,496.63 × 172,731.42
  4. Step 4: Simplify right side
    509,699.52x = 132,052,588,485.12
  5. Step 5: Solve for x
    x = 132,052,588,485.12/509,699.52
  6. Step 6: Final answer
    x = 259,079.29

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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.