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Finding the Fourth Proportional to 263,969.88, 364,278.24 and 143,115

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Solution

The fourth proportional to 263,969.88, 364,278.24 and 143,115 is: 197,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,969.88 : 364,278.24 = 143,115 : x
  2. Step 2: Convert to fraction form
    263,969.88/364,278.24 = 143,115/x
  3. Step 3: Cross multiply
    263,969.88x = 364,278.24 × 143,115
  4. Step 4: Simplify right side
    263,969.88x = 52,133,680,317.60
  5. Step 5: Solve for x
    x = 52,133,680,317.60/263,969.88
  6. Step 6: Final answer
    x = 197,498.59

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1.5x scale

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.