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Finding the Fourth Proportional to 356,524.20, 492,003.42 and 205,621.20

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Solution

The fourth proportional to 356,524.20, 492,003.42 and 205,621.20 is: 283,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,524.20 : 492,003.42 = 205,621.20 : x
  2. Step 2: Convert to fraction form
    356,524.20/492,003.42 = 205,621.20/x
  3. Step 3: Cross multiply
    356,524.20x = 492,003.42 × 205,621.20
  4. Step 4: Simplify right side
    356,524.20x = 101,166,333,624.50
  5. Step 5: Solve for x
    x = 101,166,333,624.50/356,524.20
  6. Step 6: Final answer
    x = 283,757.27

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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.