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Finding the Fourth Proportional to 294,390.60, 406,268.84 and 165,351.78

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Solution

The fourth proportional to 294,390.60, 406,268.84 and 165,351.78 is: 228,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,390.60 : 406,268.84 = 165,351.78 : x
  2. Step 2: Convert to fraction form
    294,390.60/406,268.84 = 165,351.78/x
  3. Step 3: Cross multiply
    294,390.60x = 406,268.84 × 165,351.78
  4. Step 4: Simplify right side
    294,390.60x = 67,177,275,852.54
  5. Step 5: Solve for x
    x = 67,177,275,852.54/294,390.60
  6. Step 6: Final answer
    x = 228,190.97

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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.