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Finding the Fourth Proportional to 278,687, 384,588.78 and 163,969.94

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Solution

The fourth proportional to 278,687, 384,588.78 and 163,969.94 is: 226,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,687 : 384,588.78 = 163,969.94 : x
  2. Step 2: Convert to fraction form
    278,687/384,588.78 = 163,969.94/x
  3. Step 3: Cross multiply
    278,687x = 384,588.78 × 163,969.94
  4. Step 4: Simplify right side
    278,687x = 63,060,999,181.27
  5. Step 5: Solve for x
    x = 63,060,999,181.27/278,687
  6. Step 6: Final answer
    x = 226,278.94

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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.