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Finding the Fourth Proportional to 1,285,772, 1,928,658 and 497,804

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Solution

The fourth proportional to 1,285,772, 1,928,658 and 497,804 is: 746,706

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,772 : 1,928,658 = 497,804 : x
  2. Step 2: Convert to fraction form
    1,285,772/1,928,658 = 497,804/x
  3. Step 3: Cross multiply
    1,285,772x = 1,928,658 × 497,804
  4. Step 4: Simplify right side
    1,285,772x = 960,093,667,032
  5. Step 5: Solve for x
    x = 960,093,667,032/1,285,772
  6. Step 6: Final answer
    x = 746,706

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.