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Finding the Fourth Proportional to 408,690,812.20, 613,036,218.30 and 364,348,949.80

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Solution

The fourth proportional to 408,690,812.20, 613,036,218.30 and 364,348,949.80 is: 546,523,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,690,812.20 : 613,036,218.30 = 364,348,949.80 : x
  2. Step 2: Convert to fraction form
    408,690,812.20/613,036,218.30 = 364,348,949.80/x
  3. Step 3: Cross multiply
    408,690,812.20x = 613,036,218.30 × 364,348,949.80
  4. Step 4: Simplify right side
    408,690,812.20x = 223,359,102,326,968,544
  5. Step 5: Solve for x
    x = 223,359,102,326,968,544/408,690,812.20
  6. Step 6: Final answer
    x = 546,523,424.70

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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.