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Finding the Fourth Proportional to 311,580.84, 467,184.38 and 142,889.88

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Solution

The fourth proportional to 311,580.84, 467,184.38 and 142,889.88 is: 214,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.84 : 467,184.38 = 142,889.88 : x
  2. Step 2: Convert to fraction form
    311,580.84/467,184.38 = 142,889.88/x
  3. Step 3: Cross multiply
    311,580.84x = 467,184.38 × 142,889.88
  4. Step 4: Simplify right side
    311,580.84x = 66,755,919,996.07
  5. Step 5: Solve for x
    x = 66,755,919,996.07/311,580.84
  6. Step 6: Final answer
    x = 214,249.12

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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.