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Finding the Fourth Proportional to 311,099.78, 466,717.72 and 100,758.98

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Solution

The fourth proportional to 311,099.78, 466,717.72 and 100,758.98 is: 151,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,099.78 : 466,717.72 = 100,758.98 : x
  2. Step 2: Convert to fraction form
    311,099.78/466,717.72 = 100,758.98/x
  3. Step 3: Cross multiply
    311,099.78x = 466,717.72 × 100,758.98
  4. Step 4: Simplify right side
    311,099.78x = 47,026,001,415.13
  5. Step 5: Solve for x
    x = 47,026,001,415.13/311,099.78
  6. Step 6: Final answer
    x = 151,160.51

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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.