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Finding the Fourth Proportional to 299,078.40, 448,617.60 and 192,790.20

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Solution

The fourth proportional to 299,078.40, 448,617.60 and 192,790.20 is: 289,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078.40 : 448,617.60 = 192,790.20 : x
  2. Step 2: Convert to fraction form
    299,078.40/448,617.60 = 192,790.20/x
  3. Step 3: Cross multiply
    299,078.40x = 448,617.60 × 192,790.20
  4. Step 4: Simplify right side
    299,078.40x = 86,489,076,827.52
  5. Step 5: Solve for x
    x = 86,489,076,827.52/299,078.40
  6. Step 6: Final answer
    x = 289,185.30

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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.