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Finding the Fourth Proportional to 1,412,973.06, 1,949,954.22 and 809,477.70

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Solution

The fourth proportional to 1,412,973.06, 1,949,954.22 and 809,477.70 is: 1,117,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,973.06 : 1,949,954.22 = 809,477.70 : x
  2. Step 2: Convert to fraction form
    1,412,973.06/1,949,954.22 = 809,477.70/x
  3. Step 3: Cross multiply
    1,412,973.06x = 1,949,954.22 × 809,477.70
  4. Step 4: Simplify right side
    1,412,973.06x = 1,578,444,457,110.89
  5. Step 5: Solve for x
    x = 1,578,444,457,110.89/1,412,973.06
  6. Step 6: Final answer
    x = 1,117,108.67

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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.