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Finding the Fourth Proportional to 257,903.28, 355,907.78 and 161,163.30

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Solution

The fourth proportional to 257,903.28, 355,907.78 and 161,163.30 is: 222,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,903.28 : 355,907.78 = 161,163.30 : x
  2. Step 2: Convert to fraction form
    257,903.28/355,907.78 = 161,163.30/x
  3. Step 3: Cross multiply
    257,903.28x = 355,907.78 × 161,163.30
  4. Step 4: Simplify right side
    257,903.28x = 57,359,271,514.66
  5. Step 5: Solve for x
    x = 57,359,271,514.66/257,903.28
  6. Step 6: Final answer
    x = 222,406.13

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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.