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Finding the Fourth Proportional to 256,744.07, 385,151.13 and 106,949.33

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Solution

The fourth proportional to 256,744.07, 385,151.13 and 106,949.33 is: 160,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.07 : 385,151.13 = 106,949.33 : x
  2. Step 2: Convert to fraction form
    256,744.07/385,151.13 = 106,949.33/x
  3. Step 3: Cross multiply
    256,744.07x = 385,151.13 × 106,949.33
  4. Step 4: Simplify right side
    256,744.07x = 41,191,655,302.24
  5. Step 5: Solve for x
    x = 41,191,655,302.24/256,744.07
  6. Step 6: Final answer
    x = 160,438.59

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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.