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Finding the Fourth Proportional to 288,823.36, 398,676.60 and 198,478.40

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Solution

The fourth proportional to 288,823.36, 398,676.60 and 198,478.40 is: 273,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,823.36 : 398,676.60 = 198,478.40 : x
  2. Step 2: Convert to fraction form
    288,823.36/398,676.60 = 198,478.40/x
  3. Step 3: Cross multiply
    288,823.36x = 398,676.60 × 198,478.40
  4. Step 4: Simplify right side
    288,823.36x = 79,128,693,685.44
  5. Step 5: Solve for x
    x = 79,128,693,685.44/288,823.36
  6. Step 6: Final answer
    x = 273,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.