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Finding the Fourth Proportional to 339,858.68, 509,700.54 and 140,235.80

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Solution

The fourth proportional to 339,858.68, 509,700.54 and 140,235.80 is: 210,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858.68 : 509,700.54 = 140,235.80 : x
  2. Step 2: Convert to fraction form
    339,858.68/509,700.54 = 140,235.80/x
  3. Step 3: Cross multiply
    339,858.68x = 509,700.54 × 140,235.80
  4. Step 4: Simplify right side
    339,858.68x = 71,478,262,987.33
  5. Step 5: Solve for x
    x = 71,478,262,987.33/339,858.68
  6. Step 6: Final answer
    x = 210,317.60

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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.