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Finding the Fourth Proportional to 257,428.36, 355,131.06 and 161,987.68

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Solution

The fourth proportional to 257,428.36, 355,131.06 and 161,987.68 is: 223,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,428.36 : 355,131.06 = 161,987.68 : x
  2. Step 2: Convert to fraction form
    257,428.36/355,131.06 = 161,987.68/x
  3. Step 3: Cross multiply
    257,428.36x = 355,131.06 × 161,987.68
  4. Step 4: Simplify right side
    257,428.36x = 57,526,856,505.34
  5. Step 5: Solve for x
    x = 57,526,856,505.34/257,428.36
  6. Step 6: Final answer
    x = 223,467.44

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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.