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Finding the Fourth Proportional to 264,078.64, 364,428.72 and 143,219.88

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Solution

The fourth proportional to 264,078.64, 364,428.72 and 143,219.88 is: 197,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,078.64 : 364,428.72 = 143,219.88 : x
  2. Step 2: Convert to fraction form
    264,078.64/364,428.72 = 143,219.88/x
  3. Step 3: Cross multiply
    264,078.64x = 364,428.72 × 143,219.88
  4. Step 4: Simplify right side
    264,078.64x = 52,193,437,546.95
  5. Step 5: Solve for x
    x = 52,193,437,546.95/264,078.64
  6. Step 6: Final answer
    x = 197,643.54

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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.