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Finding the Fourth Proportional to 311,584.40, 467,376.30 and 74,927

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Solution

The fourth proportional to 311,584.40, 467,376.30 and 74,927 is: 112,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,584.40 : 467,376.30 = 74,927 : x
  2. Step 2: Convert to fraction form
    311,584.40/467,376.30 = 74,927/x
  3. Step 3: Cross multiply
    311,584.40x = 467,376.30 × 74,927
  4. Step 4: Simplify right side
    311,584.40x = 35,019,104,030.10
  5. Step 5: Solve for x
    x = 35,019,104,030.10/311,584.40
  6. Step 6: Final answer
    x = 112,390.43

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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.