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Finding the Fourth Proportional to 211,218.33, 316,828.16 and 53,446.74

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Solution

The fourth proportional to 211,218.33, 316,828.16 and 53,446.74 is: 80,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,218.33 : 316,828.16 = 53,446.74 : x
  2. Step 2: Convert to fraction form
    211,218.33/316,828.16 = 53,446.74/x
  3. Step 3: Cross multiply
    211,218.33x = 316,828.16 × 53,446.74
  4. Step 4: Simplify right side
    211,218.33x = 16,933,431,037.28
  5. Step 5: Solve for x
    x = 16,933,431,037.28/211,218.33
  6. Step 6: Final answer
    x = 80,170.27

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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.