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Finding the Fourth Proportional to 378,059.12, 521,721.31 and 208,293.25

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Solution

The fourth proportional to 378,059.12, 521,721.31 and 208,293.25 is: 287,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.12 : 521,721.31 = 208,293.25 : x
  2. Step 2: Convert to fraction form
    378,059.12/521,721.31 = 208,293.25/x
  3. Step 3: Cross multiply
    378,059.12x = 521,721.31 × 208,293.25
  4. Step 4: Simplify right side
    378,059.12x = 108,671,027,254.16
  5. Step 5: Solve for x
    x = 108,671,027,254.16/378,059.12
  6. Step 6: Final answer
    x = 287,444.53

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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.