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Finding the Fourth Proportional to 821,232.40, 1,230,696.60 and 653,040.40

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Solution

The fourth proportional to 821,232.40, 1,230,696.60 and 653,040.40 is: 978,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,232.40 : 1,230,696.60 = 653,040.40 : x
  2. Step 2: Convert to fraction form
    821,232.40/1,230,696.60 = 653,040.40/x
  3. Step 3: Cross multiply
    821,232.40x = 1,230,696.60 × 653,040.40
  4. Step 4: Simplify right side
    821,232.40x = 803,694,599,942.64
  5. Step 5: Solve for x
    x = 803,694,599,942.64/821,232.40
  6. Step 6: Final answer
    x = 978,644.53

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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.