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Finding the Fourth Proportional to 804,307, 1,206,459.53 and 205,268.22

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Solution

The fourth proportional to 804,307, 1,206,459.53 and 205,268.22 is: 307,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,307 : 1,206,459.53 = 205,268.22 : x
  2. Step 2: Convert to fraction form
    804,307/1,206,459.53 = 205,268.22/x
  3. Step 3: Cross multiply
    804,307x = 1,206,459.53 × 205,268.22
  4. Step 4: Simplify right side
    804,307x = 247,647,800,225.14
  5. Step 5: Solve for x
    x = 247,647,800,225.14/804,307
  6. Step 6: Final answer
    x = 307,902.08

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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.