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Finding the Fourth Proportional to 264,138.63, 364,510.11 and 143,279.97

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Solution

The fourth proportional to 264,138.63, 364,510.11 and 143,279.97 is: 197,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,138.63 : 364,510.11 = 143,279.97 : x
  2. Step 2: Convert to fraction form
    264,138.63/364,510.11 = 143,279.97/x
  3. Step 3: Cross multiply
    264,138.63x = 364,510.11 × 143,279.97
  4. Step 4: Simplify right side
    264,138.63x = 52,226,997,625.50
  5. Step 5: Solve for x
    x = 52,226,997,625.50/264,138.63
  6. Step 6: Final answer
    x = 197,725.71

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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.