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Finding the Fourth Proportional to 211,212.64, 316,031.52 and 208,850.56

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Solution

The fourth proportional to 211,212.64, 316,031.52 and 208,850.56 is: 312,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,212.64 : 316,031.52 = 208,850.56 : x
  2. Step 2: Convert to fraction form
    211,212.64/316,031.52 = 208,850.56/x
  3. Step 3: Cross multiply
    211,212.64x = 316,031.52 × 208,850.56
  4. Step 4: Simplify right side
    211,212.64x = 66,003,359,929.65
  5. Step 5: Solve for x
    x = 66,003,359,929.65/211,212.64
  6. Step 6: Final answer
    x = 312,497.21

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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.