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Finding the Fourth Proportional to 469,910.52, 648,181.44 and 278,788.50

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Solution

The fourth proportional to 469,910.52, 648,181.44 and 278,788.50 is: 384,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,910.52 : 648,181.44 = 278,788.50 : x
  2. Step 2: Convert to fraction form
    469,910.52/648,181.44 = 278,788.50/x
  3. Step 3: Cross multiply
    469,910.52x = 648,181.44 × 278,788.50
  4. Step 4: Simplify right side
    469,910.52x = 180,705,531,385.44
  5. Step 5: Solve for x
    x = 180,705,531,385.44/469,910.52
  6. Step 6: Final answer
    x = 384,553.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.