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Finding the Fourth Proportional to 309,114.90, 462,879.09 and 214,209.90

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Solution

The fourth proportional to 309,114.90, 462,879.09 and 214,209.90 is: 320,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,114.90 : 462,879.09 = 214,209.90 : x
  2. Step 2: Convert to fraction form
    309,114.90/462,879.09 = 214,209.90/x
  3. Step 3: Cross multiply
    309,114.90x = 462,879.09 × 214,209.90
  4. Step 4: Simplify right side
    309,114.90x = 99,153,283,580.99
  5. Step 5: Solve for x
    x = 99,153,283,580.99/309,114.90
  6. Step 6: Final answer
    x = 320,765.14

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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.