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Finding the Fourth Proportional to 279,345.94, 385,948.41 and 194,840.26

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Solution

The fourth proportional to 279,345.94, 385,948.41 and 194,840.26 is: 269,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,345.94 : 385,948.41 = 194,840.26 : x
  2. Step 2: Convert to fraction form
    279,345.94/385,948.41 = 194,840.26/x
  3. Step 3: Cross multiply
    279,345.94x = 385,948.41 × 194,840.26
  4. Step 4: Simplify right side
    279,345.94x = 75,198,288,550.99
  5. Step 5: Solve for x
    x = 75,198,288,550.99/279,345.94
  6. Step 6: Final answer
    x = 269,194.13

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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.