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Finding the Fourth Proportional to 256,154.54, 384,250.26 and 98,383

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Solution

The fourth proportional to 256,154.54, 384,250.26 and 98,383 is: 147,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,154.54 : 384,250.26 = 98,383 : x
  2. Step 2: Convert to fraction form
    256,154.54/384,250.26 = 98,383/x
  3. Step 3: Cross multiply
    256,154.54x = 384,250.26 × 98,383
  4. Step 4: Simplify right side
    256,154.54x = 37,803,693,329.58
  5. Step 5: Solve for x
    x = 37,803,693,329.58/256,154.54
  6. Step 6: Final answer
    x = 147,581.59

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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.