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Finding the Fourth Proportional to 380,475.96, 570,090.57 and 230,764.87

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Solution

The fourth proportional to 380,475.96, 570,090.57 and 230,764.87 is: 345,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,475.96 : 570,090.57 = 230,764.87 : x
  2. Step 2: Convert to fraction form
    380,475.96/570,090.57 = 230,764.87/x
  3. Step 3: Cross multiply
    380,475.96x = 570,090.57 × 230,764.87
  4. Step 4: Simplify right side
    380,475.96x = 131,556,876,274.28
  5. Step 5: Solve for x
    x = 131,556,876,274.28/380,475.96
  6. Step 6: Final answer
    x = 345,769.22

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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.