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Finding the Fourth Proportional to 277,212.42, 415,881 and 87,684.24

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Solution

The fourth proportional to 277,212.42, 415,881 and 87,684.24 is: 131,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,212.42 : 415,881 = 87,684.24 : x
  2. Step 2: Convert to fraction form
    277,212.42/415,881 = 87,684.24/x
  3. Step 3: Cross multiply
    277,212.42x = 415,881 × 87,684.24
  4. Step 4: Simplify right side
    277,212.42x = 36,466,209,415.44
  5. Step 5: Solve for x
    x = 36,466,209,415.44/277,212.42
  6. Step 6: Final answer
    x = 131,546.09

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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.