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Finding the Fourth Proportional to 339,648.40, 509,456.40 and 114,986.80

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Solution

The fourth proportional to 339,648.40, 509,456.40 and 114,986.80 is: 172,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,648.40 : 509,456.40 = 114,986.80 : x
  2. Step 2: Convert to fraction form
    339,648.40/509,456.40 = 114,986.80/x
  3. Step 3: Cross multiply
    339,648.40x = 509,456.40 × 114,986.80
  4. Step 4: Simplify right side
    339,648.40x = 58,580,761,175.52
  5. Step 5: Solve for x
    x = 58,580,761,175.52/339,648.40
  6. Step 6: Final answer
    x = 172,474.72

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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.