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Finding the Fourth Proportional to 339,661.40, 509,540.70 and 103,022.60

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Solution

The fourth proportional to 339,661.40, 509,540.70 and 103,022.60 is: 154,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,661.40 : 509,540.70 = 103,022.60 : x
  2. Step 2: Convert to fraction form
    339,661.40/509,540.70 = 103,022.60/x
  3. Step 3: Cross multiply
    339,661.40x = 509,540.70 × 103,022.60
  4. Step 4: Simplify right side
    339,661.40x = 52,494,207,719.82
  5. Step 5: Solve for x
    x = 52,494,207,719.82/339,661.40
  6. Step 6: Final answer
    x = 154,548.64

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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.