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Finding the Fourth Proportional to 256,556.96, 384,672.43 and 225,030.34

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Solution

The fourth proportional to 256,556.96, 384,672.43 and 225,030.34 is: 337,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,556.96 : 384,672.43 = 225,030.34 : x
  2. Step 2: Convert to fraction form
    256,556.96/384,672.43 = 225,030.34/x
  3. Step 3: Cross multiply
    256,556.96x = 384,672.43 × 225,030.34
  4. Step 4: Simplify right side
    256,556.96x = 86,562,967,711.53
  5. Step 5: Solve for x
    x = 86,562,967,711.53/256,556.96
  6. Step 6: Final answer
    x = 337,402.53

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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.