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Finding the Fourth Proportional to 1,285,649, 1,774,076.34 and 712,640.42

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Solution

The fourth proportional to 1,285,649, 1,774,076.34 and 712,640.42 is: 983,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,649 : 1,774,076.34 = 712,640.42 : x
  2. Step 2: Convert to fraction form
    1,285,649/1,774,076.34 = 712,640.42/x
  3. Step 3: Cross multiply
    1,285,649x = 1,774,076.34 × 712,640.42
  4. Step 4: Simplify right side
    1,285,649x = 1,264,278,508,049.66
  5. Step 5: Solve for x
    x = 1,264,278,508,049.66/1,285,649
  6. Step 6: Final answer
    x = 983,377.66

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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.