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Finding the Fourth Proportional to 257,770.49, 355,722.48 and 143,066.43

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Solution

The fourth proportional to 257,770.49, 355,722.48 and 143,066.43 is: 197,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,770.49 : 355,722.48 = 143,066.43 : x
  2. Step 2: Convert to fraction form
    257,770.49/355,722.48 = 143,066.43/x
  3. Step 3: Cross multiply
    257,770.49x = 355,722.48 × 143,066.43
  4. Step 4: Simplify right side
    257,770.49x = 50,891,945,284.35
  5. Step 5: Solve for x
    x = 50,891,945,284.35/257,770.49
  6. Step 6: Final answer
    x = 197,431.24

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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.