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Finding the Fourth Proportional to 1,321,726, 1,824,137.40 and 785,182

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Solution

The fourth proportional to 1,321,726, 1,824,137.40 and 785,182 is: 1,083,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,726 : 1,824,137.40 = 785,182 : x
  2. Step 2: Convert to fraction form
    1,321,726/1,824,137.40 = 785,182/x
  3. Step 3: Cross multiply
    1,321,726x = 1,824,137.40 × 785,182
  4. Step 4: Simplify right side
    1,321,726x = 1,432,279,852,006.80
  5. Step 5: Solve for x
    x = 1,432,279,852,006.80/1,321,726
  6. Step 6: Final answer
    x = 1,083,643.55

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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.