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Finding the Fourth Proportional to 1,354,513.65, 1,869,264.50 and 765,766.23

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Solution

The fourth proportional to 1,354,513.65, 1,869,264.50 and 765,766.23 is: 1,056,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,513.65 : 1,869,264.50 = 765,766.23 : x
  2. Step 2: Convert to fraction form
    1,354,513.65/1,869,264.50 = 765,766.23/x
  3. Step 3: Cross multiply
    1,354,513.65x = 1,869,264.50 × 765,766.23
  4. Step 4: Simplify right side
    1,354,513.65x = 1,431,419,629,037.84
  5. Step 5: Solve for x
    x = 1,431,419,629,037.84/1,354,513.65
  6. Step 6: Final answer
    x = 1,056,777.56

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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.