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Finding the Fourth Proportional to 339,739.33, 509,609.10 and 99,853.28

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Solution

The fourth proportional to 339,739.33, 509,609.10 and 99,853.28 is: 149,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,739.33 : 509,609.10 = 99,853.28 : x
  2. Step 2: Convert to fraction form
    339,739.33/509,609.10 = 99,853.28/x
  3. Step 3: Cross multiply
    339,739.33x = 509,609.10 × 99,853.28
  4. Step 4: Simplify right side
    339,739.33x = 50,886,140,152.85
  5. Step 5: Solve for x
    x = 50,886,140,152.85/339,739.33
  6. Step 6: Final answer
    x = 149,779.95

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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.