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Finding the Fourth Proportional to 339,840.49, 509,727.83 and 103,185.22

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Solution

The fourth proportional to 339,840.49, 509,727.83 and 103,185.22 is: 154,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,840.49 : 509,727.83 = 103,185.22 : x
  2. Step 2: Convert to fraction form
    339,840.49/509,727.83 = 103,185.22/x
  3. Step 3: Cross multiply
    339,840.49x = 509,727.83 × 103,185.22
  4. Step 4: Simplify right side
    339,840.49x = 52,596,378,278.67
  5. Step 5: Solve for x
    x = 52,596,378,278.67/339,840.49
  6. Step 6: Final answer
    x = 154,767.84

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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.