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Finding the Fourth Proportional to 277,277.30, 415,915.85 and 108,876.86

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Solution

The fourth proportional to 277,277.30, 415,915.85 and 108,876.86 is: 163,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,277.30 : 415,915.85 = 108,876.86 : x
  2. Step 2: Convert to fraction form
    277,277.30/415,915.85 = 108,876.86/x
  3. Step 3: Cross multiply
    277,277.30x = 415,915.85 × 108,876.86
  4. Step 4: Simplify right side
    277,277.30x = 45,283,611,227.85
  5. Step 5: Solve for x
    x = 45,283,611,227.85/277,277.30
  6. Step 6: Final answer
    x = 163,315.25

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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.