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Finding the Fourth Proportional to 339,842.25, 509,730.45 and 103,186.98

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Solution

The fourth proportional to 339,842.25, 509,730.45 and 103,186.98 is: 154,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,842.25 : 509,730.45 = 103,186.98 : x
  2. Step 2: Convert to fraction form
    339,842.25/509,730.45 = 103,186.98/x
  3. Step 3: Cross multiply
    339,842.25x = 509,730.45 × 103,186.98
  4. Step 4: Simplify right side
    339,842.25x = 52,597,545,749.54
  5. Step 5: Solve for x
    x = 52,597,545,749.54/339,842.25
  6. Step 6: Final answer
    x = 154,770.47

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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.