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Finding the Fourth Proportional to 561,309.87, 842,021.51 and 182,214.75

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Solution

The fourth proportional to 561,309.87, 842,021.51 and 182,214.75 is: 273,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,309.87 : 842,021.51 = 182,214.75 : x
  2. Step 2: Convert to fraction form
    561,309.87/842,021.51 = 182,214.75/x
  3. Step 3: Cross multiply
    561,309.87x = 842,021.51 × 182,214.75
  4. Step 4: Simplify right side
    561,309.87x = 153,428,738,939.27
  5. Step 5: Solve for x
    x = 153,428,738,939.27/561,309.87
  6. Step 6: Final answer
    x = 273,340.53

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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.