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Finding the Fourth Proportional to 257,994.68, 356,055.01 and 143,295.44

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Solution

The fourth proportional to 257,994.68, 356,055.01 and 143,295.44 is: 197,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,994.68 : 356,055.01 = 143,295.44 : x
  2. Step 2: Convert to fraction form
    257,994.68/356,055.01 = 143,295.44/x
  3. Step 3: Cross multiply
    257,994.68x = 356,055.01 × 143,295.44
  4. Step 4: Simplify right side
    257,994.68x = 51,021,057,183.64
  5. Step 5: Solve for x
    x = 51,021,057,183.64/257,994.68
  6. Step 6: Final answer
    x = 197,760.12

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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.