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Finding the Fourth Proportional to 256,554.65, 384,668.96 and 225,028.01

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Solution

The fourth proportional to 256,554.65, 384,668.96 and 225,028.01 is: 337,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554.65 : 384,668.96 = 225,028.01 : x
  2. Step 2: Convert to fraction form
    256,554.65/384,668.96 = 225,028.01/x
  3. Step 3: Cross multiply
    256,554.65x = 384,668.96 × 225,028.01
  4. Step 4: Simplify right side
    256,554.65x = 86,561,292,101.81
  5. Step 5: Solve for x
    x = 86,561,292,101.81/256,554.65
  6. Step 6: Final answer
    x = 337,399.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.