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Finding the Fourth Proportional to 460,443.11, 691,135.97 and 380,225.48

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Solution

The fourth proportional to 460,443.11, 691,135.97 and 380,225.48 is: 570,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,443.11 : 691,135.97 = 380,225.48 : x
  2. Step 2: Convert to fraction form
    460,443.11/691,135.97 = 380,225.48/x
  3. Step 3: Cross multiply
    460,443.11x = 691,135.97 × 380,225.48
  4. Step 4: Simplify right side
    460,443.11x = 262,787,505,765.23
  5. Step 5: Solve for x
    x = 262,787,505,765.23/460,443.11
  6. Step 6: Final answer
    x = 570,727.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.