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Finding the Fourth Proportional to 921,917, 1,383,108.78 and 257,069

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Solution

The fourth proportional to 921,917, 1,383,108.78 and 257,069 is: 385,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,917 : 1,383,108.78 = 257,069 : x
  2. Step 2: Convert to fraction form
    921,917/1,383,108.78 = 257,069/x
  3. Step 3: Cross multiply
    921,917x = 1,383,108.78 × 257,069
  4. Step 4: Simplify right side
    921,917x = 355,554,390,965.82
  5. Step 5: Solve for x
    x = 355,554,390,965.82/921,917
  6. Step 6: Final answer
    x = 385,668.55

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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.