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Finding the Fourth Proportional to 264,236, 396,395.28 and 86,702.64

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Solution

The fourth proportional to 264,236, 396,395.28 and 86,702.64 is: 130,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,236 : 396,395.28 = 86,702.64 : x
  2. Step 2: Convert to fraction form
    264,236/396,395.28 = 86,702.64/x
  3. Step 3: Cross multiply
    264,236x = 396,395.28 × 86,702.64
  4. Step 4: Simplify right side
    264,236x = 34,368,517,259.54
  5. Step 5: Solve for x
    x = 34,368,517,259.54/264,236
  6. Step 6: Final answer
    x = 130,067.51

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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.