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Finding the Fourth Proportional to 820,692, 1,228,515.48 and 699,623.01

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Solution

The fourth proportional to 820,692, 1,228,515.48 and 699,623.01 is: 1,047,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,692 : 1,228,515.48 = 699,623.01 : x
  2. Step 2: Convert to fraction form
    820,692/1,228,515.48 = 699,623.01/x
  3. Step 3: Cross multiply
    820,692x = 1,228,515.48 × 699,623.01
  4. Step 4: Simplify right side
    820,692x = 859,497,697,949.20
  5. Step 5: Solve for x
    x = 859,497,697,949.20/820,692
  6. Step 6: Final answer
    x = 1,047,284.12

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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.