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Finding the Fourth Proportional to 1,312,794.60, 1,968,414.30 and 682,938.60

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Solution

The fourth proportional to 1,312,794.60, 1,968,414.30 and 682,938.60 is: 1,024,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,794.60 : 1,968,414.30 = 682,938.60 : x
  2. Step 2: Convert to fraction form
    1,312,794.60/1,968,414.30 = 682,938.60/x
  3. Step 3: Cross multiply
    1,312,794.60x = 1,968,414.30 × 682,938.60
  4. Step 4: Simplify right side
    1,312,794.60x = 1,344,306,106,261.98
  5. Step 5: Solve for x
    x = 1,344,306,106,261.98/1,312,794.60
  6. Step 6: Final answer
    x = 1,024,003.38

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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.