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Finding the Fourth Proportional to 652,749.42, 978,902.36 and 226,185.72

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Solution

The fourth proportional to 652,749.42, 978,902.36 and 226,185.72 is: 339,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,749.42 : 978,902.36 = 226,185.72 : x
  2. Step 2: Convert to fraction form
    652,749.42/978,902.36 = 226,185.72/x
  3. Step 3: Cross multiply
    652,749.42x = 978,902.36 × 226,185.72
  4. Step 4: Simplify right side
    652,749.42x = 221,413,735,106.30
  5. Step 5: Solve for x
    x = 221,413,735,106.30/652,749.42
  6. Step 6: Final answer
    x = 339,201.73

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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.