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Finding the Fourth Proportional to 385,249, 531,644.48 and 213,179.44

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Solution

The fourth proportional to 385,249, 531,644.48 and 213,179.44 is: 294,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,249 : 531,644.48 = 213,179.44 : x
  2. Step 2: Convert to fraction form
    385,249/531,644.48 = 213,179.44/x
  3. Step 3: Cross multiply
    385,249x = 531,644.48 × 213,179.44
  4. Step 4: Simplify right side
    385,249x = 113,335,672,525.49
  5. Step 5: Solve for x
    x = 113,335,672,525.49/385,249
  6. Step 6: Final answer
    x = 294,188.10

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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.