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Finding the Fourth Proportional to 329,120.64, 493,704 and 162,864

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Solution

The fourth proportional to 329,120.64, 493,704 and 162,864 is: 244,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,120.64 : 493,704 = 162,864 : x
  2. Step 2: Convert to fraction form
    329,120.64/493,704 = 162,864/x
  3. Step 3: Cross multiply
    329,120.64x = 493,704 × 162,864
  4. Step 4: Simplify right side
    329,120.64x = 80,406,608,256
  5. Step 5: Solve for x
    x = 80,406,608,256/329,120.64
  6. Step 6: Final answer
    x = 244,307.40

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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.