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Finding the Fourth Proportional to 499,641.75, 689,516.55 and 273,287.25

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Solution

The fourth proportional to 499,641.75, 689,516.55 and 273,287.25 is: 377,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,641.75 : 689,516.55 = 273,287.25 : x
  2. Step 2: Convert to fraction form
    499,641.75/689,516.55 = 273,287.25/x
  3. Step 3: Cross multiply
    499,641.75x = 689,516.55 × 273,287.25
  4. Step 4: Simplify right side
    499,641.75x = 188,436,081,778.99
  5. Step 5: Solve for x
    x = 188,436,081,778.99/499,641.75
  6. Step 6: Final answer
    x = 377,142.39

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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.