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Finding the Fourth Proportional to 264,504.36, 398,574.87 and 218,781.48

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Solution

The fourth proportional to 264,504.36, 398,574.87 and 218,781.48 is: 329,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,504.36 : 398,574.87 = 218,781.48 : x
  2. Step 2: Convert to fraction form
    264,504.36/398,574.87 = 218,781.48/x
  3. Step 3: Cross multiply
    264,504.36x = 398,574.87 × 218,781.48
  4. Step 4: Simplify right side
    264,504.36x = 87,200,799,949.41
  5. Step 5: Solve for x
    x = 87,200,799,949.41/264,504.36
  6. Step 6: Final answer
    x = 329,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.