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Finding the Fourth Proportional to 339,893.42, 509,735.93 and 112,147.00

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Solution

The fourth proportional to 339,893.42, 509,735.93 and 112,147.00 is: 168,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,893.42 : 509,735.93 = 112,147.00 : x
  2. Step 2: Convert to fraction form
    339,893.42/509,735.93 = 112,147.00/x
  3. Step 3: Cross multiply
    339,893.42x = 509,735.93 × 112,147.00
  4. Step 4: Simplify right side
    339,893.42x = 57,165,355,418.14
  5. Step 5: Solve for x
    x = 57,165,355,418.14/339,893.42
  6. Step 6: Final answer
    x = 168,186.12

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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.