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Finding the Fourth Proportional to 339,485.12, 509,224.42 and 206,402.12

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Solution

The fourth proportional to 339,485.12, 509,224.42 and 206,402.12 is: 309,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,485.12 : 509,224.42 = 206,402.12 : x
  2. Step 2: Convert to fraction form
    339,485.12/509,224.42 = 206,402.12/x
  3. Step 3: Cross multiply
    339,485.12x = 509,224.42 × 206,402.12
  4. Step 4: Simplify right side
    339,485.12x = 105,104,999,843.77
  5. Step 5: Solve for x
    x = 105,104,999,843.77/339,485.12
  6. Step 6: Final answer
    x = 309,601.20

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1.5x scale

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.