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Finding the Fourth Proportional to 311,190.40, 466,843.20 and 100,835.20

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Solution

The fourth proportional to 311,190.40, 466,843.20 and 100,835.20 is: 151,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,190.40 : 466,843.20 = 100,835.20 : x
  2. Step 2: Convert to fraction form
    311,190.40/466,843.20 = 100,835.20/x
  3. Step 3: Cross multiply
    311,190.40x = 466,843.20 × 100,835.20
  4. Step 4: Simplify right side
    311,190.40x = 47,074,227,440.64
  5. Step 5: Solve for x
    x = 47,074,227,440.64/311,190.40
  6. Step 6: Final answer
    x = 151,271.46

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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.