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Finding the Fourth Proportional to 277,286.63, 415,888.32 and 87,722.37

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Solution

The fourth proportional to 277,286.63, 415,888.32 and 87,722.37 is: 131,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,286.63 : 415,888.32 = 87,722.37 : x
  2. Step 2: Convert to fraction form
    277,286.63/415,888.32 = 87,722.37/x
  3. Step 3: Cross multiply
    277,286.63x = 415,888.32 × 87,722.37
  4. Step 4: Simplify right side
    277,286.63x = 36,482,709,414.68
  5. Step 5: Solve for x
    x = 36,482,709,414.68/277,286.63
  6. Step 6: Final answer
    x = 131,570.39

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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.