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Finding the Fourth Proportional to 311,881.38, 467,858.64 and 109,415.58

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Solution

The fourth proportional to 311,881.38, 467,858.64 and 109,415.58 is: 164,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,881.38 : 467,858.64 = 109,415.58 : x
  2. Step 2: Convert to fraction form
    311,881.38/467,858.64 = 109,415.58/x
  3. Step 3: Cross multiply
    311,881.38x = 467,858.64 × 109,415.58
  4. Step 4: Simplify right side
    311,881.38x = 51,191,024,453.61
  5. Step 5: Solve for x
    x = 51,191,024,453.61/311,881.38
  6. Step 6: Final answer
    x = 164,136.20

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1.5x scale

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.