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Finding the Fourth Proportional to 385,195.88, 531,740.57 and 230,201.85

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Solution

The fourth proportional to 385,195.88, 531,740.57 and 230,201.85 is: 317,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,195.88 : 531,740.57 = 230,201.85 : x
  2. Step 2: Convert to fraction form
    385,195.88/531,740.57 = 230,201.85/x
  3. Step 3: Cross multiply
    385,195.88x = 531,740.57 × 230,201.85
  4. Step 4: Simplify right side
    385,195.88x = 122,407,666,093.28
  5. Step 5: Solve for x
    x = 122,407,666,093.28/385,195.88
  6. Step 6: Final answer
    x = 317,780.31

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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.