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Finding the Fourth Proportional to 1,409,895.92, 1,945,643.09 and 765,302.31

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Solution

The fourth proportional to 1,409,895.92, 1,945,643.09 and 765,302.31 is: 1,056,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,895.92 : 1,945,643.09 = 765,302.31 : x
  2. Step 2: Convert to fraction form
    1,409,895.92/1,945,643.09 = 765,302.31/x
  3. Step 3: Cross multiply
    1,409,895.92x = 1,945,643.09 × 765,302.31
  4. Step 4: Simplify right side
    1,409,895.92x = 1,489,005,147,386.03
  5. Step 5: Solve for x
    x = 1,489,005,147,386.03/1,409,895.92
  6. Step 6: Final answer
    x = 1,056,109.97

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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.