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Finding the Fourth Proportional to 329,820.30, 494,730.45 and 211,722.30

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Solution

The fourth proportional to 329,820.30, 494,730.45 and 211,722.30 is: 317,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,820.30 : 494,730.45 = 211,722.30 : x
  2. Step 2: Convert to fraction form
    329,820.30/494,730.45 = 211,722.30/x
  3. Step 3: Cross multiply
    329,820.30x = 494,730.45 × 211,722.30
  4. Step 4: Simplify right side
    329,820.30x = 104,745,468,754.04
  5. Step 5: Solve for x
    x = 104,745,468,754.04/329,820.30
  6. Step 6: Final answer
    x = 317,583.45

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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.