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Finding the Fourth Proportional to 277,343.88, 416,078.46 and 87,815.76

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Solution

The fourth proportional to 277,343.88, 416,078.46 and 87,815.76 is: 131,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,343.88 : 416,078.46 = 87,815.76 : x
  2. Step 2: Convert to fraction form
    277,343.88/416,078.46 = 87,815.76/x
  3. Step 3: Cross multiply
    277,343.88x = 416,078.46 × 87,815.76
  4. Step 4: Simplify right side
    277,343.88x = 36,538,246,184.53
  5. Step 5: Solve for x
    x = 36,538,246,184.53/277,343.88
  6. Step 6: Final answer
    x = 131,743.47

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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.