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Finding the Fourth Proportional to 211,245.60, 316,868.40 and 202,144.80

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Solution

The fourth proportional to 211,245.60, 316,868.40 and 202,144.80 is: 303,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,245.60 : 316,868.40 = 202,144.80 : x
  2. Step 2: Convert to fraction form
    211,245.60/316,868.40 = 202,144.80/x
  3. Step 3: Cross multiply
    211,245.60x = 316,868.40 × 202,144.80
  4. Step 4: Simplify right side
    211,245.60x = 64,053,299,344.32
  5. Step 5: Solve for x
    x = 64,053,299,344.32/211,245.60
  6. Step 6: Final answer
    x = 303,217.20

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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.