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Finding the Fourth Proportional to 339,884.16, 509,774.40 and 190,032

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Solution

The fourth proportional to 339,884.16, 509,774.40 and 190,032 is: 285,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,884.16 : 509,774.40 = 190,032 : x
  2. Step 2: Convert to fraction form
    339,884.16/509,774.40 = 190,032/x
  3. Step 3: Cross multiply
    339,884.16x = 509,774.40 × 190,032
  4. Step 4: Simplify right side
    339,884.16x = 96,873,448,780.80
  5. Step 5: Solve for x
    x = 96,873,448,780.80/339,884.16
  6. Step 6: Final answer
    x = 285,019.02

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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.