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Finding the Fourth Proportional to 311,580.78, 467,196.09 and 129,155.82

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Solution

The fourth proportional to 311,580.78, 467,196.09 and 129,155.82 is: 193,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.78 : 467,196.09 = 129,155.82 : x
  2. Step 2: Convert to fraction form
    311,580.78/467,196.09 = 129,155.82/x
  3. Step 3: Cross multiply
    311,580.78x = 467,196.09 × 129,155.82
  4. Step 4: Simplify right side
    311,580.78x = 60,341,094,104.74
  5. Step 5: Solve for x
    x = 60,341,094,104.74/311,580.78
  6. Step 6: Final answer
    x = 193,661.16

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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.