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Finding the Fourth Proportional to 340,675,400.80, 511,013,101.20 and 196,900,271.20

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Solution

The fourth proportional to 340,675,400.80, 511,013,101.20 and 196,900,271.20 is: 295,350,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,675,400.80 : 511,013,101.20 = 196,900,271.20 : x
  2. Step 2: Convert to fraction form
    340,675,400.80/511,013,101.20 = 196,900,271.20/x
  3. Step 3: Cross multiply
    340,675,400.80x = 511,013,101.20 × 196,900,271.20
  4. Step 4: Simplify right side
    340,675,400.80x = 100,618,618,213,033,040
  5. Step 5: Solve for x
    x = 100,618,618,213,033,040/340,675,400.80
  6. Step 6: Final answer
    x = 295,350,406.80

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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.