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Finding the Fourth Proportional to 378,012, 521,656.56 and 208,246.08

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Solution

The fourth proportional to 378,012, 521,656.56 and 208,246.08 is: 287,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,012 : 521,656.56 = 208,246.08 : x
  2. Step 2: Convert to fraction form
    378,012/521,656.56 = 208,246.08/x
  3. Step 3: Cross multiply
    378,012x = 521,656.56 × 208,246.08
  4. Step 4: Simplify right side
    378,012x = 108,632,933,726.29
  5. Step 5: Solve for x
    x = 108,632,933,726.29/378,012
  6. Step 6: Final answer
    x = 287,379.59

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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.