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Finding the Fourth Proportional to 354,545, 531,519.20 and 164,909

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Solution

The fourth proportional to 354,545, 531,519.20 and 164,909 is: 247,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,545 : 531,519.20 = 164,909 : x
  2. Step 2: Convert to fraction form
    354,545/531,519.20 = 164,909/x
  3. Step 3: Cross multiply
    354,545x = 531,519.20 × 164,909
  4. Step 4: Simplify right side
    354,545x = 87,652,299,752.80
  5. Step 5: Solve for x
    x = 87,652,299,752.80/354,545
  6. Step 6: Final answer
    x = 247,224.75

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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.