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Finding the Fourth Proportional to 339,853.58, 509,780.35 and 161,820.85

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Solution

The fourth proportional to 339,853.58, 509,780.35 and 161,820.85 is: 242,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,853.58 : 509,780.35 = 161,820.85 : x
  2. Step 2: Convert to fraction form
    339,853.58/509,780.35 = 161,820.85/x
  3. Step 3: Cross multiply
    339,853.58x = 509,780.35 × 161,820.85
  4. Step 4: Simplify right side
    339,853.58x = 82,493,089,433.96
  5. Step 5: Solve for x
    x = 82,493,089,433.96/339,853.58
  6. Step 6: Final answer
    x = 242,731.26

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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.