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Finding the Fourth Proportional to 789,415, 1,089,418.64 and 431,719

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Solution

The fourth proportional to 789,415, 1,089,418.64 and 431,719 is: 595,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,415 : 1,089,418.64 = 431,719 : x
  2. Step 2: Convert to fraction form
    789,415/1,089,418.64 = 431,719/x
  3. Step 3: Cross multiply
    789,415x = 1,089,418.64 × 431,719
  4. Step 4: Simplify right side
    789,415x = 470,322,725,842.16
  5. Step 5: Solve for x
    x = 470,322,725,842.16/789,415
  6. Step 6: Final answer
    x = 595,786.41

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1.5x scale

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.