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Finding the Fourth Proportional to 718,299.25, 991,252.74 and 412,395.46

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Solution

The fourth proportional to 718,299.25, 991,252.74 and 412,395.46 is: 569,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,299.25 : 991,252.74 = 412,395.46 : x
  2. Step 2: Convert to fraction form
    718,299.25/991,252.74 = 412,395.46/x
  3. Step 3: Cross multiply
    718,299.25x = 991,252.74 × 412,395.46
  4. Step 4: Simplify right side
    718,299.25x = 408,788,129,688.56
  5. Step 5: Solve for x
    x = 408,788,129,688.56/718,299.25
  6. Step 6: Final answer
    x = 569,105.61

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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.