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Finding the Fourth Proportional to 256,486.33, 384,608.40 and 149,900.86

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Solution

The fourth proportional to 256,486.33, 384,608.40 and 149,900.86 is: 224,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,486.33 : 384,608.40 = 149,900.86 : x
  2. Step 2: Convert to fraction form
    256,486.33/384,608.40 = 149,900.86/x
  3. Step 3: Cross multiply
    256,486.33x = 384,608.40 × 149,900.86
  4. Step 4: Simplify right side
    256,486.33x = 57,653,129,923.22
  5. Step 5: Solve for x
    x = 57,653,129,923.22/256,486.33
  6. Step 6: Final answer
    x = 224,780.52

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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.