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Finding the Fourth Proportional to 339,816.21, 509,405.98 and 115,019.34

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Solution

The fourth proportional to 339,816.21, 509,405.98 and 115,019.34 is: 172,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,816.21 : 509,405.98 = 115,019.34 : x
  2. Step 2: Convert to fraction form
    339,816.21/509,405.98 = 115,019.34/x
  3. Step 3: Cross multiply
    339,816.21x = 509,405.98 × 115,019.34
  4. Step 4: Simplify right side
    339,816.21x = 58,591,539,611.65
  5. Step 5: Solve for x
    x = 58,591,539,611.65/339,816.21
  6. Step 6: Final answer
    x = 172,421.26

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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.