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Finding the Fourth Proportional to 485,900.45, 728,538.47 and 201,786.98

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Solution

The fourth proportional to 485,900.45, 728,538.47 and 201,786.98 is: 302,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,900.45 : 728,538.47 = 201,786.98 : x
  2. Step 2: Convert to fraction form
    485,900.45/728,538.47 = 201,786.98/x
  3. Step 3: Cross multiply
    485,900.45x = 728,538.47 × 201,786.98
  4. Step 4: Simplify right side
    485,900.45x = 147,009,576,512.21
  5. Step 5: Solve for x
    x = 147,009,576,512.21/485,900.45
  6. Step 6: Final answer
    x = 302,550.81

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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.