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Finding the Fourth Proportional to 323,790.70, 484,814.48 and 211,191.80

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Solution

The fourth proportional to 323,790.70, 484,814.48 and 211,191.80 is: 316,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,790.70 : 484,814.48 = 211,191.80 : x
  2. Step 2: Convert to fraction form
    323,790.70/484,814.48 = 211,191.80/x
  3. Step 3: Cross multiply
    323,790.70x = 484,814.48 × 211,191.80
  4. Step 4: Simplify right side
    323,790.70x = 102,388,842,697.26
  5. Step 5: Solve for x
    x = 102,388,842,697.26/323,790.70
  6. Step 6: Final answer
    x = 316,219.22

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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.