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Finding the Fourth Proportional to 355,612.83, 490,754.24 and 202,647.75

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Solution

The fourth proportional to 355,612.83, 490,754.24 and 202,647.75 is: 279,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,612.83 : 490,754.24 = 202,647.75 : x
  2. Step 2: Convert to fraction form
    355,612.83/490,754.24 = 202,647.75/x
  3. Step 3: Cross multiply
    355,612.83x = 490,754.24 × 202,647.75
  4. Step 4: Simplify right side
    355,612.83x = 99,450,241,525.72
  5. Step 5: Solve for x
    x = 99,450,241,525.72/355,612.83
  6. Step 6: Final answer
    x = 279,658.76

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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.