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Finding the Fourth Proportional to 339,984.10, 510,101.70 and 140,321.80

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Solution

The fourth proportional to 339,984.10, 510,101.70 and 140,321.80 is: 210,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984.10 : 510,101.70 = 140,321.80 : x
  2. Step 2: Convert to fraction form
    339,984.10/510,101.70 = 140,321.80/x
  3. Step 3: Cross multiply
    339,984.10x = 510,101.70 × 140,321.80
  4. Step 4: Simplify right side
    339,984.10x = 71,578,388,727.06
  5. Step 5: Solve for x
    x = 71,578,388,727.06/339,984.10
  6. Step 6: Final answer
    x = 210,534.52

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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.