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Finding the Fourth Proportional to 378,128.94, 521,828.88 and 208,374

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Solution

The fourth proportional to 378,128.94, 521,828.88 and 208,374 is: 287,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,128.94 : 521,828.88 = 208,374 : x
  2. Step 2: Convert to fraction form
    378,128.94/521,828.88 = 208,374/x
  3. Step 3: Cross multiply
    378,128.94x = 521,828.88 × 208,374
  4. Step 4: Simplify right side
    378,128.94x = 108,735,569,999.25
  5. Step 5: Solve for x
    x = 108,735,569,999.25/378,128.94
  6. Step 6: Final answer
    x = 287,562.15

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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.