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Finding the Fourth Proportional to 1,300,145.77, 1,948,939.26 and 759,716.20

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Solution

The fourth proportional to 1,300,145.77, 1,948,939.26 and 759,716.20 is: 1,138,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,145.77 : 1,948,939.26 = 759,716.20 : x
  2. Step 2: Convert to fraction form
    1,300,145.77/1,948,939.26 = 759,716.20/x
  3. Step 3: Cross multiply
    1,300,145.77x = 1,948,939.26 × 759,716.20
  4. Step 4: Simplify right side
    1,300,145.77x = 1,480,640,728,638.01
  5. Step 5: Solve for x
    x = 1,480,640,728,638.01/1,300,145.77
  6. Step 6: Final answer
    x = 1,138,826.71

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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.