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Finding the Fourth Proportional to 283,420.85, 391,148.42 and 211,676.31

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Solution

The fourth proportional to 283,420.85, 391,148.42 and 211,676.31 is: 292,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,420.85 : 391,148.42 = 211,676.31 : x
  2. Step 2: Convert to fraction form
    283,420.85/391,148.42 = 211,676.31/x
  3. Step 3: Cross multiply
    283,420.85x = 391,148.42 × 211,676.31
  4. Step 4: Simplify right side
    283,420.85x = 82,796,853,149.55
  5. Step 5: Solve for x
    x = 82,796,853,149.55/283,420.85
  6. Step 6: Final answer
    x = 292,133.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.