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Finding the Fourth Proportional to 339,774.30, 509,343.12 and 114,977.36

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Solution

The fourth proportional to 339,774.30, 509,343.12 and 114,977.36 is: 172,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774.30 : 509,343.12 = 114,977.36 : x
  2. Step 2: Convert to fraction form
    339,774.30/509,343.12 = 114,977.36/x
  3. Step 3: Cross multiply
    339,774.30x = 509,343.12 × 114,977.36
  4. Step 4: Simplify right side
    339,774.30x = 58,562,924,725.05
  5. Step 5: Solve for x
    x = 58,562,924,725.05/339,774.30
  6. Step 6: Final answer
    x = 172,358.31

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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.