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Finding the Fourth Proportional to 299,447,970.80, 449,171,956.20 and 255,609,993.20

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Solution

The fourth proportional to 299,447,970.80, 449,171,956.20 and 255,609,993.20 is: 383,414,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447,970.80 : 449,171,956.20 = 255,609,993.20 : x
  2. Step 2: Convert to fraction form
    299,447,970.80/449,171,956.20 = 255,609,993.20/x
  3. Step 3: Cross multiply
    299,447,970.80x = 449,171,956.20 × 255,609,993.20
  4. Step 4: Simplify right side
    299,447,970.80x = 114,812,840,669,912,688
  5. Step 5: Solve for x
    x = 114,812,840,669,912,688/299,447,970.80
  6. Step 6: Final answer
    x = 383,414,989.80

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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.