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Finding the Fourth Proportional to 1,409,792.22, 1,945,515.43 and 765,212.58

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Solution

The fourth proportional to 1,409,792.22, 1,945,515.43 and 765,212.58 is: 1,055,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,792.22 : 1,945,515.43 = 765,212.58 : x
  2. Step 2: Convert to fraction form
    1,409,792.22/1,945,515.43 = 765,212.58/x
  3. Step 3: Cross multiply
    1,409,792.22x = 1,945,515.43 × 765,212.58
  4. Step 4: Simplify right side
    1,409,792.22x = 1,488,732,871,892.53
  5. Step 5: Solve for x
    x = 1,488,732,871,892.53/1,409,792.22
  6. Step 6: Final answer
    x = 1,055,994.53

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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.