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Finding the Fourth Proportional to 1,409,706.89, 1,945,375.47 and 765,110.51

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Solution

The fourth proportional to 1,409,706.89, 1,945,375.47 and 765,110.51 is: 1,055,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,706.89 : 1,945,375.47 = 765,110.51 : x
  2. Step 2: Convert to fraction form
    1,409,706.89/1,945,375.47 = 765,110.51/x
  3. Step 3: Cross multiply
    1,409,706.89x = 1,945,375.47 × 765,110.51
  4. Step 4: Simplify right side
    1,409,706.89x = 1,488,427,208,266.31
  5. Step 5: Solve for x
    x = 1,488,427,208,266.31/1,409,706.89
  6. Step 6: Final answer
    x = 1,055,841.63

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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.