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Finding the Fourth Proportional to 1,410,917.13, 1,947,071.22 and 766,348.09

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Solution

The fourth proportional to 1,410,917.13, 1,947,071.22 and 766,348.09 is: 1,057,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,917.13 : 1,947,071.22 = 766,348.09 : x
  2. Step 2: Convert to fraction form
    1,410,917.13/1,947,071.22 = 766,348.09/x
  3. Step 3: Cross multiply
    1,410,917.13x = 1,947,071.22 × 766,348.09
  4. Step 4: Simplify right side
    1,410,917.13x = 1,492,134,302,799.49
  5. Step 5: Solve for x
    x = 1,492,134,302,799.49/1,410,917.13
  6. Step 6: Final answer
    x = 1,057,563.39

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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.