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Finding the Fourth Proportional to 265,787,412.80, 398,606,469.60 and 84,090,286.40

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Solution

The fourth proportional to 265,787,412.80, 398,606,469.60 and 84,090,286.40 is: 126,111,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,787,412.80 : 398,606,469.60 = 84,090,286.40 : x
  2. Step 2: Convert to fraction form
    265,787,412.80/398,606,469.60 = 84,090,286.40/x
  3. Step 3: Cross multiply
    265,787,412.80x = 398,606,469.60 × 84,090,286.40
  4. Step 4: Simplify right side
    265,787,412.80x = 33,518,932,189,556,896
  5. Step 5: Solve for x
    x = 33,518,932,189,556,896/265,787,412.80
  6. Step 6: Final answer
    x = 126,111,811.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.