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Finding the Fourth Proportional to 616,902.27, 925,126.75 and 211,979.64

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Solution

The fourth proportional to 616,902.27, 925,126.75 and 211,979.64 is: 317,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,902.27 : 925,126.75 = 211,979.64 : x
  2. Step 2: Convert to fraction form
    616,902.27/925,126.75 = 211,979.64/x
  3. Step 3: Cross multiply
    616,902.27x = 925,126.75 × 211,979.64
  4. Step 4: Simplify right side
    616,902.27x = 196,108,035,419.37
  5. Step 5: Solve for x
    x = 196,108,035,419.37/616,902.27
  6. Step 6: Final answer
    x = 317,891.58

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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.