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Finding the Fourth Proportional to 278,568, 384,438.42 and 163,852.56

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Solution

The fourth proportional to 278,568, 384,438.42 and 163,852.56 is: 226,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,568 : 384,438.42 = 163,852.56 : x
  2. Step 2: Convert to fraction form
    278,568/384,438.42 = 163,852.56/x
  3. Step 3: Cross multiply
    278,568x = 384,438.42 × 163,852.56
  4. Step 4: Simplify right side
    278,568x = 62,991,219,279.36
  5. Step 5: Solve for x
    x = 62,991,219,279.36/278,568
  6. Step 6: Final answer
    x = 226,125.11

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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.