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Finding the Fourth Proportional to 378,208.48, 521,926.62 and 208,442.56

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Solution

The fourth proportional to 378,208.48, 521,926.62 and 208,442.56 is: 287,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,208.48 : 521,926.62 = 208,442.56 : x
  2. Step 2: Convert to fraction form
    378,208.48/521,926.62 = 208,442.56/x
  3. Step 3: Cross multiply
    378,208.48x = 521,926.62 × 208,442.56
  4. Step 4: Simplify right side
    378,208.48x = 108,791,720,804.95
  5. Step 5: Solve for x
    x = 108,791,720,804.95/378,208.48
  6. Step 6: Final answer
    x = 287,650.14

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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.