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Finding the Fourth Proportional to 821,991, 1,232,986.50 and 231,015

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Solution

The fourth proportional to 821,991, 1,232,986.50 and 231,015 is: 346,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,991 : 1,232,986.50 = 231,015 : x
  2. Step 2: Convert to fraction form
    821,991/1,232,986.50 = 231,015/x
  3. Step 3: Cross multiply
    821,991x = 1,232,986.50 × 231,015
  4. Step 4: Simplify right side
    821,991x = 284,838,376,297.50
  5. Step 5: Solve for x
    x = 284,838,376,297.50/821,991
  6. Step 6: Final answer
    x = 346,522.50

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Similar ratio
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1.5x scale

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.