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Finding the Fourth Proportional to 311,378.34, 467,133.12 and 100,999.88

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Solution

The fourth proportional to 311,378.34, 467,133.12 and 100,999.88 is: 151,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,378.34 : 467,133.12 = 100,999.88 : x
  2. Step 2: Convert to fraction form
    311,378.34/467,133.12 = 100,999.88/x
  3. Step 3: Cross multiply
    311,378.34x = 467,133.12 × 100,999.88
  4. Step 4: Simplify right side
    311,378.34x = 47,180,386,728.36
  5. Step 5: Solve for x
    x = 47,180,386,728.36/311,378.34
  6. Step 6: Final answer
    x = 151,521.09

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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.