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Finding the Fourth Proportional to 1,204,400, 1,662,072 and 667,856

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Solution

The fourth proportional to 1,204,400, 1,662,072 and 667,856 is: 921,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,400 : 1,662,072 = 667,856 : x
  2. Step 2: Convert to fraction form
    1,204,400/1,662,072 = 667,856/x
  3. Step 3: Cross multiply
    1,204,400x = 1,662,072 × 667,856
  4. Step 4: Simplify right side
    1,204,400x = 1,110,024,757,632
  5. Step 5: Solve for x
    x = 1,110,024,757,632/1,204,400
  6. Step 6: Final answer
    x = 921,641.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.