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Finding the Fourth Proportional to 311,042,419.80, 466,563,629.70 and 188,598,413.40

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Solution

The fourth proportional to 311,042,419.80, 466,563,629.70 and 188,598,413.40 is: 282,897,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,042,419.80 : 466,563,629.70 = 188,598,413.40 : x
  2. Step 2: Convert to fraction form
    311,042,419.80/466,563,629.70 = 188,598,413.40/x
  3. Step 3: Cross multiply
    311,042,419.80x = 466,563,629.70 × 188,598,413.40
  4. Step 4: Simplify right side
    311,042,419.80x = 87,993,160,311,565,120
  5. Step 5: Solve for x
    x = 87,993,160,311,565,120/311,042,419.80
  6. Step 6: Final answer
    x = 282,897,620.10

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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.