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Finding the Fourth Proportional to 323,748.30, 485,476.65 and 146,163.90

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Solution

The fourth proportional to 323,748.30, 485,476.65 and 146,163.90 is: 219,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,748.30 : 485,476.65 = 146,163.90 : x
  2. Step 2: Convert to fraction form
    323,748.30/485,476.65 = 146,163.90/x
  3. Step 3: Cross multiply
    323,748.30x = 485,476.65 × 146,163.90
  4. Step 4: Simplify right side
    323,748.30x = 70,959,160,522.94
  5. Step 5: Solve for x
    x = 70,959,160,522.94/323,748.30
  6. Step 6: Final answer
    x = 219,180.03

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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.