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Finding the Fourth Proportional to 431,998.08, 648,286.38 and 179,278.80

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Solution

The fourth proportional to 431,998.08, 648,286.38 and 179,278.80 is: 269,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,998.08 : 648,286.38 = 179,278.80 : x
  2. Step 2: Convert to fraction form
    431,998.08/648,286.38 = 179,278.80/x
  3. Step 3: Cross multiply
    431,998.08x = 648,286.38 × 179,278.80
  4. Step 4: Simplify right side
    431,998.08x = 116,224,004,262.74
  5. Step 5: Solve for x
    x = 116,224,004,262.74/431,998.08
  6. Step 6: Final answer
    x = 269,038.24

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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.