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Finding the Fourth Proportional to 378,153.63, 521,849.52 and 208,387.89

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Solution

The fourth proportional to 378,153.63, 521,849.52 and 208,387.89 is: 287,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,153.63 : 521,849.52 = 208,387.89 : x
  2. Step 2: Convert to fraction form
    378,153.63/521,849.52 = 208,387.89/x
  3. Step 3: Cross multiply
    378,153.63x = 521,849.52 × 208,387.89
  4. Step 4: Simplify right side
    378,153.63x = 108,747,120,370.31
  5. Step 5: Solve for x
    x = 108,747,120,370.31/378,153.63
  6. Step 6: Final answer
    x = 287,573.92

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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.