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Finding the Fourth Proportional to 449,339,969.60, 674,009,954.40 and 399,175,438.40

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Solution

The fourth proportional to 449,339,969.60, 674,009,954.40 and 399,175,438.40 is: 598,763,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,339,969.60 : 674,009,954.40 = 399,175,438.40 : x
  2. Step 2: Convert to fraction form
    449,339,969.60/674,009,954.40 = 399,175,438.40/x
  3. Step 3: Cross multiply
    449,339,969.60x = 674,009,954.40 × 399,175,438.40
  4. Step 4: Simplify right side
    449,339,969.60x = 269,048,219,033,583,968
  5. Step 5: Solve for x
    x = 269,048,219,033,583,968/449,339,969.60
  6. Step 6: Final answer
    x = 598,763,157.60

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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.