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Finding the Fourth Proportional to 256,335.90, 384,388.65 and 98,511.90

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Solution

The fourth proportional to 256,335.90, 384,388.65 and 98,511.90 is: 147,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,335.90 : 384,388.65 = 98,511.90 : x
  2. Step 2: Convert to fraction form
    256,335.90/384,388.65 = 98,511.90/x
  3. Step 3: Cross multiply
    256,335.90x = 384,388.65 × 98,511.90
  4. Step 4: Simplify right side
    256,335.90x = 37,866,856,249.94
  5. Step 5: Solve for x
    x = 37,866,856,249.94/256,335.90
  6. Step 6: Final answer
    x = 147,723.58

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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.