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Finding the Fourth Proportional to 1,408,964.09, 1,945,751.69 and 974,494.67

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Solution

The fourth proportional to 1,408,964.09, 1,945,751.69 and 974,494.67 is: 1,345,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,964.09 : 1,945,751.69 = 974,494.67 : x
  2. Step 2: Convert to fraction form
    1,408,964.09/1,945,751.69 = 974,494.67/x
  3. Step 3: Cross multiply
    1,408,964.09x = 1,945,751.69 × 974,494.67
  4. Step 4: Simplify right side
    1,408,964.09x = 1,896,124,643,755.97
  5. Step 5: Solve for x
    x = 1,896,124,643,755.97/1,408,964.09
  6. Step 6: Final answer
    x = 1,345,757.97

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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.