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Finding the Fourth Proportional to 408,649,411.20, 612,974,116.80 and 388,494,019.20

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Solution

The fourth proportional to 408,649,411.20, 612,974,116.80 and 388,494,019.20 is: 582,741,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,649,411.20 : 612,974,116.80 = 388,494,019.20 : x
  2. Step 2: Convert to fraction form
    408,649,411.20/612,974,116.80 = 388,494,019.20/x
  3. Step 3: Cross multiply
    408,649,411.20x = 612,974,116.80 × 388,494,019.20
  4. Step 4: Simplify right side
    408,649,411.20x = 238,136,778,301,202,208
  5. Step 5: Solve for x
    x = 238,136,778,301,202,208/408,649,411.20
  6. Step 6: Final answer
    x = 582,741,028.80

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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.