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Finding the Fourth Proportional to 823,865.80, 1,155,071 and 823,865.80

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Solution

The fourth proportional to 823,865.80, 1,155,071 and 823,865.80 is: 1,155,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,865.80 : 1,155,071 = 823,865.80 : x
  2. Step 2: Convert to fraction form
    823,865.80/1,155,071 = 823,865.80/x
  3. Step 3: Cross multiply
    823,865.80x = 1,155,071 × 823,865.80
  4. Step 4: Simplify right side
    823,865.80x = 951,623,493,471.80
  5. Step 5: Solve for x
    x = 951,623,493,471.80/823,865.80
  6. Step 6: Final answer
    x = 1,155,071

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.