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Finding the Fourth Proportional to 311,712.09, 466,724.84 and 161,636.90

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Solution

The fourth proportional to 311,712.09, 466,724.84 and 161,636.90 is: 242,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,712.09 : 466,724.84 = 161,636.90 : x
  2. Step 2: Convert to fraction form
    311,712.09/466,724.84 = 161,636.90/x
  3. Step 3: Cross multiply
    311,712.09x = 466,724.84 × 161,636.90
  4. Step 4: Simplify right side
    311,712.09x = 75,439,953,148.79
  5. Step 5: Solve for x
    x = 75,439,953,148.79/311,712.09
  6. Step 6: Final answer
    x = 242,018.05

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1.5x scale

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.