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Finding the Fourth Proportional to 1,769,313.51, 2,653,965.77 and 489,916.69

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Solution

The fourth proportional to 1,769,313.51, 2,653,965.77 and 489,916.69 is: 734,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,313.51 : 2,653,965.77 = 489,916.69 : x
  2. Step 2: Convert to fraction form
    1,769,313.51/2,653,965.77 = 489,916.69/x
  3. Step 3: Cross multiply
    1,769,313.51x = 2,653,965.77 × 489,916.69
  4. Step 4: Simplify right side
    1,769,313.51x = 1,300,222,116,327.20
  5. Step 5: Solve for x
    x = 1,300,222,116,327.20/1,769,313.51
  6. Step 6: Final answer
    x = 734,873.79

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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.