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Finding the Fourth Proportional to 383,669,993.80, 575,504,990.70 and 141,427,376.20

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Solution

The fourth proportional to 383,669,993.80, 575,504,990.70 and 141,427,376.20 is: 212,141,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,669,993.80 : 575,504,990.70 = 141,427,376.20 : x
  2. Step 2: Convert to fraction form
    383,669,993.80/575,504,990.70 = 141,427,376.20/x
  3. Step 3: Cross multiply
    383,669,993.80x = 575,504,990.70 × 141,427,376.20
  4. Step 4: Simplify right side
    383,669,993.80x = 81,392,160,824,706,400
  5. Step 5: Solve for x
    x = 81,392,160,824,706,400/383,669,993.80
  6. Step 6: Final answer
    x = 212,141,064.30

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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.