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Finding the Fourth Proportional to 1,280,741.44, 1,921,443.98 and 681,209.12

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Solution

The fourth proportional to 1,280,741.44, 1,921,443.98 and 681,209.12 is: 1,021,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,741.44 : 1,921,443.98 = 681,209.12 : x
  2. Step 2: Convert to fraction form
    1,280,741.44/1,921,443.98 = 681,209.12/x
  3. Step 3: Cross multiply
    1,280,741.44x = 1,921,443.98 × 681,209.12
  4. Step 4: Simplify right side
    1,280,741.44x = 1,308,905,162,745.10
  5. Step 5: Solve for x
    x = 1,308,905,162,745.10/1,280,741.44
  6. Step 6: Final answer
    x = 1,021,990.17

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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.