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Finding the Fourth Proportional to 339,713.30, 509,568.13 and 86,993.30

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Solution

The fourth proportional to 339,713.30, 509,568.13 and 86,993.30 is: 130,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,713.30 : 509,568.13 = 86,993.30 : x
  2. Step 2: Convert to fraction form
    339,713.30/509,568.13 = 86,993.30/x
  3. Step 3: Cross multiply
    339,713.30x = 509,568.13 × 86,993.30
  4. Step 4: Simplify right side
    339,713.30x = 44,329,013,203.53
  5. Step 5: Solve for x
    x = 44,329,013,203.53/339,713.30
  6. Step 6: Final answer
    x = 130,489.48

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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.