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Finding the Fourth Proportional to 339,660.90, 509,513.04 and 114,990.30

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Solution

The fourth proportional to 339,660.90, 509,513.04 and 114,990.30 is: 172,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,660.90 : 509,513.04 = 114,990.30 : x
  2. Step 2: Convert to fraction form
    339,660.90/509,513.04 = 114,990.30/x
  3. Step 3: Cross multiply
    339,660.90x = 509,513.04 × 114,990.30
  4. Step 4: Simplify right side
    339,660.90x = 58,589,057,323.51
  5. Step 5: Solve for x
    x = 58,589,057,323.51/339,660.90
  6. Step 6: Final answer
    x = 172,492.79

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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.