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Finding the Fourth Proportional to 380,833.97, 525,531.36 and 219,679.40

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Solution

The fourth proportional to 380,833.97, 525,531.36 and 219,679.40 is: 303,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,833.97 : 525,531.36 = 219,679.40 : x
  2. Step 2: Convert to fraction form
    380,833.97/525,531.36 = 219,679.40/x
  3. Step 3: Cross multiply
    380,833.97x = 525,531.36 × 219,679.40
  4. Step 4: Simplify right side
    380,833.97x = 115,448,413,845.98
  5. Step 5: Solve for x
    x = 115,448,413,845.98/380,833.97
  6. Step 6: Final answer
    x = 303,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.