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Finding the Fourth Proportional to 391,891.62, 589,166.22 and 312,938.22

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Solution

The fourth proportional to 391,891.62, 589,166.22 and 312,938.22 is: 470,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,891.62 : 589,166.22 = 312,938.22 : x
  2. Step 2: Convert to fraction form
    391,891.62/589,166.22 = 312,938.22/x
  3. Step 3: Cross multiply
    391,891.62x = 589,166.22 × 312,938.22
  4. Step 4: Simplify right side
    391,891.62x = 184,372,628,170.93
  5. Step 5: Solve for x
    x = 184,372,628,170.93/391,891.62
  6. Step 6: Final answer
    x = 470,468.41

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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.