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Finding the Fourth Proportional to 1,409,959.15, 1,945,746.09 and 765,379.78

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Solution

The fourth proportional to 1,409,959.15, 1,945,746.09 and 765,379.78 is: 1,056,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,959.15 : 1,945,746.09 = 765,379.78 : x
  2. Step 2: Convert to fraction form
    1,409,959.15/1,945,746.09 = 765,379.78/x
  3. Step 3: Cross multiply
    1,409,959.15x = 1,945,746.09 × 765,379.78
  4. Step 4: Simplify right side
    1,409,959.15x = 1,489,234,709,435.70
  5. Step 5: Solve for x
    x = 1,489,234,709,435.70/1,409,959.15
  6. Step 6: Final answer
    x = 1,056,225.43

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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.