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Finding the Fourth Proportional to 263,814.78, 395,719.32 and 64,135.40

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Solution

The fourth proportional to 263,814.78, 395,719.32 and 64,135.40 is: 96,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814.78 : 395,719.32 = 64,135.40 : x
  2. Step 2: Convert to fraction form
    263,814.78/395,719.32 = 64,135.40/x
  3. Step 3: Cross multiply
    263,814.78x = 395,719.32 × 64,135.40
  4. Step 4: Simplify right side
    263,814.78x = 25,379,616,875.93
  5. Step 5: Solve for x
    x = 25,379,616,875.93/263,814.78
  6. Step 6: Final answer
    x = 96,202.41

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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.