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Finding the Fourth Proportional to 299,190.60, 448,785.90 and 284,428.35

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Solution

The fourth proportional to 299,190.60, 448,785.90 and 284,428.35 is: 426,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190.60 : 448,785.90 = 284,428.35 : x
  2. Step 2: Convert to fraction form
    299,190.60/448,785.90 = 284,428.35/x
  3. Step 3: Cross multiply
    299,190.60x = 448,785.90 × 284,428.35
  4. Step 4: Simplify right side
    299,190.60x = 127,647,433,040.27
  5. Step 5: Solve for x
    x = 127,647,433,040.27/299,190.60
  6. Step 6: Final answer
    x = 426,642.53

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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.