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Finding the Fourth Proportional to 311,827.72, 467,735.10 and 124,789

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Solution

The fourth proportional to 311,827.72, 467,735.10 and 124,789 is: 187,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.72 : 467,735.10 = 124,789 : x
  2. Step 2: Convert to fraction form
    311,827.72/467,735.10 = 124,789/x
  3. Step 3: Cross multiply
    311,827.72x = 467,735.10 × 124,789
  4. Step 4: Simplify right side
    311,827.72x = 58,368,195,393.90
  5. Step 5: Solve for x
    x = 58,368,195,393.90/311,827.72
  6. Step 6: Final answer
    x = 187,180.91

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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.