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Finding the Fourth Proportional to 307,851.40, 461,339.70 and 214,247.80

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Solution

The fourth proportional to 307,851.40, 461,339.70 and 214,247.80 is: 321,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.40 : 461,339.70 = 214,247.80 : x
  2. Step 2: Convert to fraction form
    307,851.40/461,339.70 = 214,247.80/x
  3. Step 3: Cross multiply
    307,851.40x = 461,339.70 × 214,247.80
  4. Step 4: Simplify right side
    307,851.40x = 98,841,015,777.66
  5. Step 5: Solve for x
    x = 98,841,015,777.66/307,851.40
  6. Step 6: Final answer
    x = 321,067.29

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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.