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Finding the Fourth Proportional to 311,812.30, 468,064.05 and 193,617.10

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Solution

The fourth proportional to 311,812.30, 468,064.05 and 193,617.10 is: 290,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,812.30 : 468,064.05 = 193,617.10 : x
  2. Step 2: Convert to fraction form
    311,812.30/468,064.05 = 193,617.10/x
  3. Step 3: Cross multiply
    311,812.30x = 468,064.05 × 193,617.10
  4. Step 4: Simplify right side
    311,812.30x = 90,625,203,975.26
  5. Step 5: Solve for x
    x = 90,625,203,975.26/311,812.30
  6. Step 6: Final answer
    x = 290,640.25

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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.