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Finding the Fourth Proportional to 263,325.79, 363,389.61 and 142,467

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Solution

The fourth proportional to 263,325.79, 363,389.61 and 142,467 is: 196,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,325.79 : 363,389.61 = 142,467 : x
  2. Step 2: Convert to fraction form
    263,325.79/363,389.61 = 142,467/x
  3. Step 3: Cross multiply
    263,325.79x = 363,389.61 × 142,467
  4. Step 4: Simplify right side
    263,325.79x = 51,771,027,567.87
  5. Step 5: Solve for x
    x = 51,771,027,567.87/263,325.79
  6. Step 6: Final answer
    x = 196,604.47

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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.