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Finding the Fourth Proportional to 378,070.56, 521,713.37 and 208,304.69

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Solution

The fourth proportional to 378,070.56, 521,713.37 and 208,304.69 is: 287,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,070.56 : 521,713.37 = 208,304.69 : x
  2. Step 2: Convert to fraction form
    378,070.56/521,713.37 = 208,304.69/x
  3. Step 3: Cross multiply
    378,070.56x = 521,713.37 × 208,304.69
  4. Step 4: Simplify right side
    378,070.56x = 108,675,339,718.90
  5. Step 5: Solve for x
    x = 108,675,339,718.90/378,070.56
  6. Step 6: Final answer
    x = 287,447.24

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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.