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Finding the Fourth Proportional to 277,238.91, 415,784.57 and 77,546.91

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Solution

The fourth proportional to 277,238.91, 415,784.57 and 77,546.91 is: 116,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,238.91 : 415,784.57 = 77,546.91 : x
  2. Step 2: Convert to fraction form
    277,238.91/415,784.57 = 77,546.91/x
  3. Step 3: Cross multiply
    277,238.91x = 415,784.57 × 77,546.91
  4. Step 4: Simplify right side
    277,238.91x = 32,242,808,241.44
  5. Step 5: Solve for x
    x = 32,242,808,241.44/277,238.91
  6. Step 6: Final answer
    x = 116,299.72

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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.