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Finding the Fourth Proportional to 405,991.17, 609,209.64 and 206,328.78

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Solution

The fourth proportional to 405,991.17, 609,209.64 and 206,328.78 is: 309,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,991.17 : 609,209.64 = 206,328.78 : x
  2. Step 2: Convert to fraction form
    405,991.17/609,209.64 = 206,328.78/x
  3. Step 3: Cross multiply
    405,991.17x = 609,209.64 × 206,328.78
  4. Step 4: Simplify right side
    405,991.17x = 125,697,481,785.44
  5. Step 5: Solve for x
    x = 125,697,481,785.44/405,991.17
  6. Step 6: Final answer
    x = 309,606.44

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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.