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Finding the Fourth Proportional to 256,668.56, 384,855.06 and 98,876.48

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Solution

The fourth proportional to 256,668.56, 384,855.06 and 98,876.48 is: 148,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668.56 : 384,855.06 = 98,876.48 : x
  2. Step 2: Convert to fraction form
    256,668.56/384,855.06 = 98,876.48/x
  3. Step 3: Cross multiply
    256,668.56x = 384,855.06 × 98,876.48
  4. Step 4: Simplify right side
    256,668.56x = 38,053,113,642.99
  5. Step 5: Solve for x
    x = 38,053,113,642.99/256,668.56
  6. Step 6: Final answer
    x = 148,257.79

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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.