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Finding the Fourth Proportional to 408,062,434.80, 613,288,045.80 and 355,509,116.40

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Solution

The fourth proportional to 408,062,434.80, 613,288,045.80 and 355,509,116.40 is: 534,304,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,062,434.80 : 613,288,045.80 = 355,509,116.40 : x
  2. Step 2: Convert to fraction form
    408,062,434.80/613,288,045.80 = 355,509,116.40/x
  3. Step 3: Cross multiply
    408,062,434.80x = 613,288,045.80 × 355,509,116.40
  4. Step 4: Simplify right side
    408,062,434.80x = 218,029,491,261,040,704
  5. Step 5: Solve for x
    x = 218,029,491,261,040,704/408,062,434.80
  6. Step 6: Final answer
    x = 534,304,245.30

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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.