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Finding the Fourth Proportional to 1,412,897.76, 1,949,850.23 and 809,402.40

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Solution

The fourth proportional to 1,412,897.76, 1,949,850.23 and 809,402.40 is: 1,117,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,897.76 : 1,949,850.23 = 809,402.40 : x
  2. Step 2: Convert to fraction form
    1,412,897.76/1,949,850.23 = 809,402.40/x
  3. Step 3: Cross multiply
    1,412,897.76x = 1,949,850.23 × 809,402.40
  4. Step 4: Simplify right side
    1,412,897.76x = 1,578,213,451,755.54
  5. Step 5: Solve for x
    x = 1,578,213,451,755.54/1,412,897.76
  6. Step 6: Final answer
    x = 1,117,004.71

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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.