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Finding the Fourth Proportional to 311,568.64, 429,964.94 and 168,328.64

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Solution

The fourth proportional to 311,568.64, 429,964.94 and 168,328.64 is: 232,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,568.64 : 429,964.94 = 168,328.64 : x
  2. Step 2: Convert to fraction form
    311,568.64/429,964.94 = 168,328.64/x
  3. Step 3: Cross multiply
    311,568.64x = 429,964.94 × 168,328.64
  4. Step 4: Simplify right side
    311,568.64x = 72,375,413,597.88
  5. Step 5: Solve for x
    x = 72,375,413,597.88/311,568.64
  6. Step 6: Final answer
    x = 232,293.64

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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.