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Finding the Fourth Proportional to 509,175.21, 702,658.87 and 279,727.56

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Solution

The fourth proportional to 509,175.21, 702,658.87 and 279,727.56 is: 386,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,175.21 : 702,658.87 = 279,727.56 : x
  2. Step 2: Convert to fraction form
    509,175.21/702,658.87 = 279,727.56/x
  3. Step 3: Cross multiply
    509,175.21x = 702,658.87 × 279,727.56
  4. Step 4: Simplify right side
    509,175.21x = 196,553,050,518.14
  5. Step 5: Solve for x
    x = 196,553,050,518.14/509,175.21
  6. Step 6: Final answer
    x = 386,022.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.