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Finding the Fourth Proportional to 339,860.52, 509,757.81 and 103,205.22

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Solution

The fourth proportional to 339,860.52, 509,757.81 and 103,205.22 is: 154,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,860.52 : 509,757.81 = 103,205.22 : x
  2. Step 2: Convert to fraction form
    339,860.52/509,757.81 = 103,205.22/x
  3. Step 3: Cross multiply
    339,860.52x = 509,757.81 × 103,205.22
  4. Step 4: Simplify right side
    339,860.52x = 52,609,666,927.77
  5. Step 5: Solve for x
    x = 52,609,666,927.77/339,860.52
  6. Step 6: Final answer
    x = 154,797.82

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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.