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Finding the Fourth Proportional to 311,865.30, 468,143.55 and 193,670.10

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Solution

The fourth proportional to 311,865.30, 468,143.55 and 193,670.10 is: 290,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.30 : 468,143.55 = 193,670.10 : x
  2. Step 2: Convert to fraction form
    311,865.30/468,143.55 = 193,670.10/x
  3. Step 3: Cross multiply
    311,865.30x = 468,143.55 × 193,670.10
  4. Step 4: Simplify right side
    311,865.30x = 90,665,408,142.86
  5. Step 5: Solve for x
    x = 90,665,408,142.86/311,865.30
  6. Step 6: Final answer
    x = 290,719.77

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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.