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Finding the Fourth Proportional to 275,502.28, 412,309.77 and 191,357.32

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Solution

The fourth proportional to 275,502.28, 412,309.77 and 191,357.32 is: 286,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,502.28 : 412,309.77 = 191,357.32 : x
  2. Step 2: Convert to fraction form
    275,502.28/412,309.77 = 191,357.32/x
  3. Step 3: Cross multiply
    275,502.28x = 412,309.77 × 191,357.32
  4. Step 4: Simplify right side
    275,502.28x = 78,898,492,597.02
  5. Step 5: Solve for x
    x = 78,898,492,597.02/275,502.28
  6. Step 6: Final answer
    x = 286,380.54

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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.