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Finding the Fourth Proportional to 211,209.60, 316,814.40 and 197,212.80

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Solution

The fourth proportional to 211,209.60, 316,814.40 and 197,212.80 is: 295,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,209.60 : 316,814.40 = 197,212.80 : x
  2. Step 2: Convert to fraction form
    211,209.60/316,814.40 = 197,212.80/x
  3. Step 3: Cross multiply
    211,209.60x = 316,814.40 × 197,212.80
  4. Step 4: Simplify right side
    211,209.60x = 62,479,854,904.32
  5. Step 5: Solve for x
    x = 62,479,854,904.32/211,209.60
  6. Step 6: Final answer
    x = 295,819.20

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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.