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Finding the Fourth Proportional to 257,244, 354,996.84 and 144,066.78

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Solution

The fourth proportional to 257,244, 354,996.84 and 144,066.78 is: 198,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,244 : 354,996.84 = 144,066.78 : x
  2. Step 2: Convert to fraction form
    257,244/354,996.84 = 144,066.78/x
  3. Step 3: Cross multiply
    257,244x = 354,996.84 × 144,066.78
  4. Step 4: Simplify right side
    257,244x = 51,143,251,648.98
  5. Step 5: Solve for x
    x = 51,143,251,648.98/257,244
  6. Step 6: Final answer
    x = 198,812.22

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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.