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Finding the Fourth Proportional to 211,291.20, 316,936.80 and 169,819.20

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Solution

The fourth proportional to 211,291.20, 316,936.80 and 169,819.20 is: 254,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,291.20 : 316,936.80 = 169,819.20 : x
  2. Step 2: Convert to fraction form
    211,291.20/316,936.80 = 169,819.20/x
  3. Step 3: Cross multiply
    211,291.20x = 316,936.80 × 169,819.20
  4. Step 4: Simplify right side
    211,291.20x = 53,821,953,826.56
  5. Step 5: Solve for x
    x = 53,821,953,826.56/211,291.20
  6. Step 6: Final answer
    x = 254,728.80

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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.