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Finding the Fourth Proportional to 311,632.60, 467,448.91 and 74,975.28

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Solution

The fourth proportional to 311,632.60, 467,448.91 and 74,975.28 is: 112,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,632.60 : 467,448.91 = 74,975.28 : x
  2. Step 2: Convert to fraction form
    311,632.60/467,448.91 = 74,975.28/x
  3. Step 3: Cross multiply
    311,632.60x = 467,448.91 × 74,975.28
  4. Step 4: Simplify right side
    311,632.60x = 35,047,112,912.94
  5. Step 5: Solve for x
    x = 35,047,112,912.94/311,632.60
  6. Step 6: Final answer
    x = 112,462.92

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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.