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Finding the Fourth Proportional to 1,407,716.78, 1,943,402.90 and 1,101,141.77

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Solution

The fourth proportional to 1,407,716.78, 1,943,402.90 and 1,101,141.77 is: 1,520,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,716.78 : 1,943,402.90 = 1,101,141.77 : x
  2. Step 2: Convert to fraction form
    1,407,716.78/1,943,402.90 = 1,101,141.77/x
  3. Step 3: Cross multiply
    1,407,716.78x = 1,943,402.90 × 1,101,141.77
  4. Step 4: Simplify right side
    1,407,716.78x = 2,139,962,093,906.41
  5. Step 5: Solve for x
    x = 2,139,962,093,906.41/1,407,716.78
  6. Step 6: Final answer
    x = 1,520,165.23

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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.