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Finding the Fourth Proportional to 419,715.61, 629,759.31 and 219,988.51

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Solution

The fourth proportional to 419,715.61, 629,759.31 and 219,988.51 is: 330,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.61 : 629,759.31 = 219,988.51 : x
  2. Step 2: Convert to fraction form
    419,715.61/629,759.31 = 219,988.51/x
  3. Step 3: Cross multiply
    419,715.61x = 629,759.31 × 219,988.51
  4. Step 4: Simplify right side
    419,715.61x = 138,539,809,866.17
  5. Step 5: Solve for x
    x = 138,539,809,866.17/419,715.61
  6. Step 6: Final answer
    x = 330,080.20

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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.