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Finding the Fourth Proportional to 256,299.39, 384,531.33 and 123,189.30

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Solution

The fourth proportional to 256,299.39, 384,531.33 and 123,189.30 is: 184,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,299.39 : 384,531.33 = 123,189.30 : x
  2. Step 2: Convert to fraction form
    256,299.39/384,531.33 = 123,189.30/x
  3. Step 3: Cross multiply
    256,299.39x = 384,531.33 × 123,189.30
  4. Step 4: Simplify right side
    256,299.39x = 47,370,145,370.77
  5. Step 5: Solve for x
    x = 47,370,145,370.77/256,299.39
  6. Step 6: Final answer
    x = 184,823.48

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1.5x scale

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.