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Finding the Fourth Proportional to 647,910, 972,020.88 and 204,678

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Solution

The fourth proportional to 647,910, 972,020.88 and 204,678 is: 307,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,910 : 972,020.88 = 204,678 : x
  2. Step 2: Convert to fraction form
    647,910/972,020.88 = 204,678/x
  3. Step 3: Cross multiply
    647,910x = 972,020.88 × 204,678
  4. Step 4: Simplify right side
    647,910x = 198,951,289,676.64
  5. Step 5: Solve for x
    x = 198,951,289,676.64/647,910
  6. Step 6: Final answer
    x = 307,066.24

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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.