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Finding the Fourth Proportional to 299,138.40, 448,707.60 and 254,037.60

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Solution

The fourth proportional to 299,138.40, 448,707.60 and 254,037.60 is: 381,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,138.40 : 448,707.60 = 254,037.60 : x
  2. Step 2: Convert to fraction form
    299,138.40/448,707.60 = 254,037.60/x
  3. Step 3: Cross multiply
    299,138.40x = 448,707.60 × 254,037.60
  4. Step 4: Simplify right side
    299,138.40x = 113,988,601,805.76
  5. Step 5: Solve for x
    x = 113,988,601,805.76/299,138.40
  6. Step 6: Final answer
    x = 381,056.40

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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.