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Finding the Fourth Proportional to 262,988, 362,923.44 and 143,756

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Solution

The fourth proportional to 262,988, 362,923.44 and 143,756 is: 198,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988 : 362,923.44 = 143,756 : x
  2. Step 2: Convert to fraction form
    262,988/362,923.44 = 143,756/x
  3. Step 3: Cross multiply
    262,988x = 362,923.44 × 143,756
  4. Step 4: Simplify right side
    262,988x = 52,172,422,040.64
  5. Step 5: Solve for x
    x = 52,172,422,040.64/262,988
  6. Step 6: Final answer
    x = 198,383.28

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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.