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Finding the Fourth Proportional to 278,388.90, 384,185.21 and 163,646.49

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Solution

The fourth proportional to 278,388.90, 384,185.21 and 163,646.49 is: 225,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,388.90 : 384,185.21 = 163,646.49 : x
  2. Step 2: Convert to fraction form
    278,388.90/384,185.21 = 163,646.49/x
  3. Step 3: Cross multiply
    278,388.90x = 384,185.21 × 163,646.49
  4. Step 4: Simplify right side
    278,388.90x = 62,870,561,126.41
  5. Step 5: Solve for x
    x = 62,870,561,126.41/278,388.90
  6. Step 6: Final answer
    x = 225,837.17

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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.