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Finding the Fourth Proportional to 256,634, 384,695.04 and 123,476.48

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Solution

The fourth proportional to 256,634, 384,695.04 and 123,476.48 is: 185,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634 : 384,695.04 = 123,476.48 : x
  2. Step 2: Convert to fraction form
    256,634/384,695.04 = 123,476.48/x
  3. Step 3: Cross multiply
    256,634x = 384,695.04 × 123,476.48
  4. Step 4: Simplify right side
    256,634x = 47,500,789,412.66
  5. Step 5: Solve for x
    x = 47,500,789,412.66/256,634
  6. Step 6: Final answer
    x = 185,091.57

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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.