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Finding the Fourth Proportional to 339,857.68, 509,699.04 and 140,234.80

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Solution

The fourth proportional to 339,857.68, 509,699.04 and 140,234.80 is: 210,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,857.68 : 509,699.04 = 140,234.80 : x
  2. Step 2: Convert to fraction form
    339,857.68/509,699.04 = 140,234.80/x
  3. Step 3: Cross multiply
    339,857.68x = 509,699.04 × 140,234.80
  4. Step 4: Simplify right side
    339,857.68x = 71,477,542,934.59
  5. Step 5: Solve for x
    x = 71,477,542,934.59/339,857.68
  6. Step 6: Final answer
    x = 210,316.10

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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.