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Finding the Fourth Proportional to 311,921.66, 430,449.72 and 168,679.64

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Solution

The fourth proportional to 311,921.66, 430,449.72 and 168,679.64 is: 232,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.66 : 430,449.72 = 168,679.64 : x
  2. Step 2: Convert to fraction form
    311,921.66/430,449.72 = 168,679.64/x
  3. Step 3: Cross multiply
    311,921.66x = 430,449.72 × 168,679.64
  4. Step 4: Simplify right side
    311,921.66x = 72,608,103,807.70
  5. Step 5: Solve for x
    x = 72,608,103,807.70/311,921.66
  6. Step 6: Final answer
    x = 232,776.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.