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Finding the Fourth Proportional to 458,918.87, 688,183.64 and 218,754.94

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Solution

The fourth proportional to 458,918.87, 688,183.64 and 218,754.94 is: 328,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,918.87 : 688,183.64 = 218,754.94 : x
  2. Step 2: Convert to fraction form
    458,918.87/688,183.64 = 218,754.94/x
  3. Step 3: Cross multiply
    458,918.87x = 688,183.64 × 218,754.94
  4. Step 4: Simplify right side
    458,918.87x = 150,543,569,468.60
  5. Step 5: Solve for x
    x = 150,543,569,468.60/458,918.87
  6. Step 6: Final answer
    x = 328,039.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.