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Finding the Fourth Proportional to 548,647.40, 822,971.10 and 193,658.60

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Solution

The fourth proportional to 548,647.40, 822,971.10 and 193,658.60 is: 290,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,647.40 : 822,971.10 = 193,658.60 : x
  2. Step 2: Convert to fraction form
    548,647.40/822,971.10 = 193,658.60/x
  3. Step 3: Cross multiply
    548,647.40x = 822,971.10 × 193,658.60
  4. Step 4: Simplify right side
    548,647.40x = 159,375,431,066.46
  5. Step 5: Solve for x
    x = 159,375,431,066.46/548,647.40
  6. Step 6: Final answer
    x = 290,487.90

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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.