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Finding the Fourth Proportional to 299,981.60, 449,972.40 and 122,429.60

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Solution

The fourth proportional to 299,981.60, 449,972.40 and 122,429.60 is: 183,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,981.60 : 449,972.40 = 122,429.60 : x
  2. Step 2: Convert to fraction form
    299,981.60/449,972.40 = 122,429.60/x
  3. Step 3: Cross multiply
    299,981.60x = 449,972.40 × 122,429.60
  4. Step 4: Simplify right side
    299,981.60x = 55,089,940,943.04
  5. Step 5: Solve for x
    x = 55,089,940,943.04/299,981.60
  6. Step 6: Final answer
    x = 183,644.40

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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.