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Finding the Fourth Proportional to 257,776.98, 355,731.44 and 143,072.94

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Solution

The fourth proportional to 257,776.98, 355,731.44 and 143,072.94 is: 197,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,776.98 : 355,731.44 = 143,072.94 : x
  2. Step 2: Convert to fraction form
    257,776.98/355,731.44 = 143,072.94/x
  3. Step 3: Cross multiply
    257,776.98x = 355,731.44 × 143,072.94
  4. Step 4: Simplify right side
    257,776.98x = 50,895,542,971.23
  5. Step 5: Solve for x
    x = 50,895,542,971.23/257,776.98
  6. Step 6: Final answer
    x = 197,440.22

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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.