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Finding the Fourth Proportional to 509,153.31, 702,553.46 and 294,251.87

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Solution

The fourth proportional to 509,153.31, 702,553.46 and 294,251.87 is: 406,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,153.31 : 702,553.46 = 294,251.87 : x
  2. Step 2: Convert to fraction form
    509,153.31/702,553.46 = 294,251.87/x
  3. Step 3: Cross multiply
    509,153.31x = 702,553.46 × 294,251.87
  4. Step 4: Simplify right side
    509,153.31x = 206,727,669,379.97
  5. Step 5: Solve for x
    x = 206,727,669,379.97/509,153.31
  6. Step 6: Final answer
    x = 406,022.44

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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.