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Finding the Fourth Proportional to 339,840.26, 509,727.44 and 103,185

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Solution

The fourth proportional to 339,840.26, 509,727.44 and 103,185 is: 154,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,840.26 : 509,727.44 = 103,185 : x
  2. Step 2: Convert to fraction form
    339,840.26/509,727.44 = 103,185/x
  3. Step 3: Cross multiply
    339,840.26x = 509,727.44 × 103,185
  4. Step 4: Simplify right side
    339,840.26x = 52,596,225,896.40
  5. Step 5: Solve for x
    x = 52,596,225,896.40/339,840.26
  6. Step 6: Final answer
    x = 154,767.50

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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.