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Finding the Fourth Proportional to 199,463,980.80, 298,944,028.80 and 97,007,404.80

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Solution

The fourth proportional to 199,463,980.80, 298,944,028.80 and 97,007,404.80 is: 145,388,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,463,980.80 : 298,944,028.80 = 97,007,404.80 : x
  2. Step 2: Convert to fraction form
    199,463,980.80/298,944,028.80 = 97,007,404.80/x
  3. Step 3: Cross multiply
    199,463,980.80x = 298,944,028.80 × 97,007,404.80
  4. Step 4: Simplify right side
    199,463,980.80x = 28,999,784,414,344,460
  5. Step 5: Solve for x
    x = 28,999,784,414,344,460/199,463,980.80
  6. Step 6: Final answer
    x = 145,388,577.42

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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.