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Finding the Fourth Proportional to 291,418.48, 402,195.80 and 164,118.96

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Solution

The fourth proportional to 291,418.48, 402,195.80 and 164,118.96 is: 226,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,418.48 : 402,195.80 = 164,118.96 : x
  2. Step 2: Convert to fraction form
    291,418.48/402,195.80 = 164,118.96/x
  3. Step 3: Cross multiply
    291,418.48x = 402,195.80 × 164,118.96
  4. Step 4: Simplify right side
    291,418.48x = 66,007,956,412.37
  5. Step 5: Solve for x
    x = 66,007,956,412.37/291,418.48
  6. Step 6: Final answer
    x = 226,505.73

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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.