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Finding the Fourth Proportional to 378,059.19, 521,721.39 and 208,293.31

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Solution

The fourth proportional to 378,059.19, 521,721.39 and 208,293.31 is: 287,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.19 : 521,721.39 = 208,293.31 : x
  2. Step 2: Convert to fraction form
    378,059.19/521,721.39 = 208,293.31/x
  3. Step 3: Cross multiply
    378,059.19x = 521,721.39 × 208,293.31
  4. Step 4: Simplify right side
    378,059.19x = 108,671,075,220.90
  5. Step 5: Solve for x
    x = 108,671,075,220.90/378,059.19
  6. Step 6: Final answer
    x = 287,444.61

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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.