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Finding the Fourth Proportional to 339,965.40, 509,510.70 and 206,704.20

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Solution

The fourth proportional to 339,965.40, 509,510.70 and 206,704.20 is: 309,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,965.40 : 509,510.70 = 206,704.20 : x
  2. Step 2: Convert to fraction form
    339,965.40/509,510.70 = 206,704.20/x
  3. Step 3: Cross multiply
    339,965.40x = 509,510.70 × 206,704.20
  4. Step 4: Simplify right side
    339,965.40x = 105,318,001,634.94
  5. Step 5: Solve for x
    x = 105,318,001,634.94/339,965.40
  6. Step 6: Final answer
    x = 309,790.35

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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.