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Finding the Fourth Proportional to 201,702,468.30, 302,553,702.45 and 200,190,813.90

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Solution

The fourth proportional to 201,702,468.30, 302,553,702.45 and 200,190,813.90 is: 300,286,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702,468.30 : 302,553,702.45 = 200,190,813.90 : x
  2. Step 2: Convert to fraction form
    201,702,468.30/302,553,702.45 = 200,190,813.90/x
  3. Step 3: Cross multiply
    201,702,468.30x = 302,553,702.45 × 200,190,813.90
  4. Step 4: Simplify right side
    201,702,468.30x = 60,568,471,941,923,920
  5. Step 5: Solve for x
    x = 60,568,471,941,923,920/201,702,468.30
  6. Step 6: Final answer
    x = 300,286,220.85

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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.