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Finding the Fourth Proportional to 211,209.64, 316,027.02 and 208,847.56

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Solution

The fourth proportional to 211,209.64, 316,027.02 and 208,847.56 is: 312,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,209.64 : 316,027.02 = 208,847.56 : x
  2. Step 2: Convert to fraction form
    211,209.64/316,027.02 = 208,847.56/x
  3. Step 3: Cross multiply
    211,209.64x = 316,027.02 × 208,847.56
  4. Step 4: Simplify right side
    211,209.64x = 66,001,472,021.07
  5. Step 5: Solve for x
    x = 66,001,472,021.07/211,209.64
  6. Step 6: Final answer
    x = 312,492.71

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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.