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Finding the Fourth Proportional to 339,368.87, 508,465.30 and 205,969.61

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Solution

The fourth proportional to 339,368.87, 508,465.30 and 205,969.61 is: 308,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,368.87 : 508,465.30 = 205,969.61 : x
  2. Step 2: Convert to fraction form
    339,368.87/508,465.30 = 205,969.61/x
  3. Step 3: Cross multiply
    339,368.87x = 508,465.30 × 205,969.61
  4. Step 4: Simplify right side
    339,368.87x = 104,728,399,539.53
  5. Step 5: Solve for x
    x = 104,728,399,539.53/339,368.87
  6. Step 6: Final answer
    x = 308,597.54

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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.