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Finding the Fourth Proportional to 299,452,564.80, 449,178,847.20 and 200,817,115.20

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Solution

The fourth proportional to 299,452,564.80, 449,178,847.20 and 200,817,115.20 is: 301,225,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,452,564.80 : 449,178,847.20 = 200,817,115.20 : x
  2. Step 2: Convert to fraction form
    299,452,564.80/449,178,847.20 = 200,817,115.20/x
  3. Step 3: Cross multiply
    299,452,564.80x = 449,178,847.20 × 200,817,115.20
  4. Step 4: Simplify right side
    299,452,564.80x = 90,202,800,303,565,584
  5. Step 5: Solve for x
    x = 90,202,800,303,565,584/299,452,564.80
  6. Step 6: Final answer
    x = 301,225,672.80

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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.