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Finding the Fourth Proportional to 339,840.91, 509,728.38 and 103,185.64

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Solution

The fourth proportional to 339,840.91, 509,728.38 and 103,185.64 is: 154,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,840.91 : 509,728.38 = 103,185.64 : x
  2. Step 2: Convert to fraction form
    339,840.91/509,728.38 = 103,185.64/x
  3. Step 3: Cross multiply
    339,840.91x = 509,728.38 × 103,185.64
  4. Step 4: Simplify right side
    339,840.91x = 52,596,649,116.46
  5. Step 5: Solve for x
    x = 52,596,649,116.46/339,840.91
  6. Step 6: Final answer
    x = 154,768.44

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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.