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Finding the Fourth Proportional to 311,167.80, 465,714.90 and 286,284.60

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Solution

The fourth proportional to 311,167.80, 465,714.90 and 286,284.60 is: 428,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,167.80 : 465,714.90 = 286,284.60 : x
  2. Step 2: Convert to fraction form
    311,167.80/465,714.90 = 286,284.60/x
  3. Step 3: Cross multiply
    311,167.80x = 465,714.90 × 286,284.60
  4. Step 4: Simplify right side
    311,167.80x = 133,327,003,860.54
  5. Step 5: Solve for x
    x = 133,327,003,860.54/311,167.80
  6. Step 6: Final answer
    x = 428,473.01

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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.