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Finding the Fourth Proportional to 1,409,785.86, 1,945,452.13 and 765,192.18

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Solution

The fourth proportional to 1,409,785.86, 1,945,452.13 and 765,192.18 is: 1,055,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,785.86 : 1,945,452.13 = 765,192.18 : x
  2. Step 2: Convert to fraction form
    1,409,785.86/1,945,452.13 = 765,192.18/x
  3. Step 3: Cross multiply
    1,409,785.86x = 1,945,452.13 × 765,192.18
  4. Step 4: Simplify right side
    1,409,785.86x = 1,488,644,756,440.34
  5. Step 5: Solve for x
    x = 1,488,644,756,440.34/1,409,785.86
  6. Step 6: Final answer
    x = 1,055,936.79

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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.