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Finding the Fourth Proportional to 378,203.46, 521,919.72 and 208,437.54

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Solution

The fourth proportional to 378,203.46, 521,919.72 and 208,437.54 is: 287,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,203.46 : 521,919.72 = 208,437.54 : x
  2. Step 2: Convert to fraction form
    378,203.46/521,919.72 = 208,437.54/x
  3. Step 3: Cross multiply
    378,203.46x = 521,919.72 × 208,437.54
  4. Step 4: Simplify right side
    378,203.46x = 108,787,662,514.29
  5. Step 5: Solve for x
    x = 108,787,662,514.29/378,203.46
  6. Step 6: Final answer
    x = 287,643.22

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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.