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Finding the Fourth Proportional to 199,291,209.10, 298,936,813.65 and 199,291,209.10

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Solution

The fourth proportional to 199,291,209.10, 298,936,813.65 and 199,291,209.10 is: 298,936,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291,209.10 : 298,936,813.65 = 199,291,209.10 : x
  2. Step 2: Convert to fraction form
    199,291,209.10/298,936,813.65 = 199,291,209.10/x
  3. Step 3: Cross multiply
    199,291,209.10x = 298,936,813.65 × 199,291,209.10
  4. Step 4: Simplify right side
    199,291,209.10x = 59,575,479,036,809,880
  5. Step 5: Solve for x
    x = 59,575,479,036,809,880/199,291,209.10
  6. Step 6: Final answer
    x = 298,936,813.65

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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.