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Finding the Fourth Proportional to 408,077,806.80, 613,311,103.80 and 355,524,488.40

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Solution

The fourth proportional to 408,077,806.80, 613,311,103.80 and 355,524,488.40 is: 534,327,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077,806.80 : 613,311,103.80 = 355,524,488.40 : x
  2. Step 2: Convert to fraction form
    408,077,806.80/613,311,103.80 = 355,524,488.40/x
  3. Step 3: Cross multiply
    408,077,806.80x = 613,311,103.80 × 355,524,488.40
  4. Step 4: Simplify right side
    408,077,806.80x = 218,047,116,408,534,272
  5. Step 5: Solve for x
    x = 218,047,116,408,534,272/408,077,806.80
  6. Step 6: Final answer
    x = 534,327,309.09

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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.