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Finding the Fourth Proportional to 256,609.91, 384,977.43 and 180,856.08

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Solution

The fourth proportional to 256,609.91, 384,977.43 and 180,856.08 is: 271,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,609.91 : 384,977.43 = 180,856.08 : x
  2. Step 2: Convert to fraction form
    256,609.91/384,977.43 = 180,856.08/x
  3. Step 3: Cross multiply
    256,609.91x = 384,977.43 × 180,856.08
  4. Step 4: Simplify right side
    256,609.91x = 69,625,508,878.27
  5. Step 5: Solve for x
    x = 69,625,508,878.27/256,609.91
  6. Step 6: Final answer
    x = 271,328.22

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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.