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Finding the Fourth Proportional to 513,744.69, 708,942.54 and 284,297.88

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Solution

The fourth proportional to 513,744.69, 708,942.54 and 284,297.88 is: 392,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,744.69 : 708,942.54 = 284,297.88 : x
  2. Step 2: Convert to fraction form
    513,744.69/708,942.54 = 284,297.88/x
  3. Step 3: Cross multiply
    513,744.69x = 708,942.54 × 284,297.88
  4. Step 4: Simplify right side
    513,744.69x = 201,550,861,163.82
  5. Step 5: Solve for x
    x = 201,550,861,163.82/513,744.69
  6. Step 6: Final answer
    x = 392,317.17

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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.