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Finding the Fourth Proportional to 408,062,380.80, 613,287,964.80 and 355,509,062.40

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Solution

The fourth proportional to 408,062,380.80, 613,287,964.80 and 355,509,062.40 is: 534,304,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,062,380.80 : 613,287,964.80 = 355,509,062.40 : x
  2. Step 2: Convert to fraction form
    408,062,380.80/613,287,964.80 = 355,509,062.40/x
  3. Step 3: Cross multiply
    408,062,380.80x = 613,287,964.80 × 355,509,062.40
  4. Step 4: Simplify right side
    408,062,380.80x = 218,029,429,347,252,160
  5. Step 5: Solve for x
    x = 218,029,429,347,252,160/408,062,380.80
  6. Step 6: Final answer
    x = 534,304,164.28

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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.