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Finding the Fourth Proportional to 485,652, 728,303.01 and 205,191.12

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Solution

The fourth proportional to 485,652, 728,303.01 and 205,191.12 is: 307,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,652 : 728,303.01 = 205,191.12 : x
  2. Step 2: Convert to fraction form
    485,652/728,303.01 = 205,191.12/x
  3. Step 3: Cross multiply
    485,652x = 728,303.01 × 205,191.12
  4. Step 4: Simplify right side
    485,652x = 149,441,310,321.27
  5. Step 5: Solve for x
    x = 149,441,310,321.27/485,652
  6. Step 6: Final answer
    x = 307,712.75

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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.