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Finding the Fourth Proportional to 278,398.88, 384,231.68 and 163,672.64

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Solution

The fourth proportional to 278,398.88, 384,231.68 and 163,672.64 is: 225,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,398.88 : 384,231.68 = 163,672.64 : x
  2. Step 2: Convert to fraction form
    278,398.88/384,231.68 = 163,672.64/x
  3. Step 3: Cross multiply
    278,398.88x = 384,231.68 × 163,672.64
  4. Step 4: Simplify right side
    278,398.88x = 62,888,213,437.24
  5. Step 5: Solve for x
    x = 62,888,213,437.24/278,398.88
  6. Step 6: Final answer
    x = 225,892.48

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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.