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Finding the Fourth Proportional to 1,410,593.28, 1,947,947.28 and 982,045.20

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Solution

The fourth proportional to 1,410,593.28, 1,947,947.28 and 982,045.20 is: 1,356,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,593.28 : 1,947,947.28 = 982,045.20 : x
  2. Step 2: Convert to fraction form
    1,410,593.28/1,947,947.28 = 982,045.20/x
  3. Step 3: Cross multiply
    1,410,593.28x = 1,947,947.28 × 982,045.20
  4. Step 4: Simplify right side
    1,410,593.28x = 1,912,972,276,177.06
  5. Step 5: Solve for x
    x = 1,912,972,276,177.06/1,410,593.28
  6. Step 6: Final answer
    x = 1,356,147.31

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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.