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Finding the Fourth Proportional to 311,719.37, 467,411.36 and 161,587.49

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Solution

The fourth proportional to 311,719.37, 467,411.36 and 161,587.49 is: 242,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,719.37 : 467,411.36 = 161,587.49 : x
  2. Step 2: Convert to fraction form
    311,719.37/467,411.36 = 161,587.49/x
  3. Step 3: Cross multiply
    311,719.37x = 467,411.36 × 161,587.49
  4. Step 4: Simplify right side
    311,719.37x = 75,527,825,314.89
  5. Step 5: Solve for x
    x = 75,527,825,314.89/311,719.37
  6. Step 6: Final answer
    x = 242,294.30

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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.