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Finding the Fourth Proportional to 330,200.50, 455,676.70 and 179,297.50

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Solution

The fourth proportional to 330,200.50, 455,676.70 and 179,297.50 is: 247,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,200.50 : 455,676.70 = 179,297.50 : x
  2. Step 2: Convert to fraction form
    330,200.50/455,676.70 = 179,297.50/x
  3. Step 3: Cross multiply
    330,200.50x = 455,676.70 × 179,297.50
  4. Step 4: Simplify right side
    330,200.50x = 81,701,693,118.25
  5. Step 5: Solve for x
    x = 81,701,693,118.25/330,200.50
  6. Step 6: Final answer
    x = 247,430.56

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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.