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Finding the Fourth Proportional to 513,644.45, 708,850.24 and 284,198.00

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Solution

The fourth proportional to 513,644.45, 708,850.24 and 284,198.00 is: 392,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,644.45 : 708,850.24 = 284,198.00 : x
  2. Step 2: Convert to fraction form
    513,644.45/708,850.24 = 284,198.00/x
  3. Step 3: Cross multiply
    513,644.45x = 708,850.24 × 284,198.00
  4. Step 4: Simplify right side
    513,644.45x = 201,453,822,631.04
  5. Step 5: Solve for x
    x = 201,453,822,631.04/513,644.45
  6. Step 6: Final answer
    x = 392,204.81

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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.