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Finding the Fourth Proportional to 316,989.78, 437,490.75 and 196,170

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Solution

The fourth proportional to 316,989.78, 437,490.75 and 196,170 is: 270,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,989.78 : 437,490.75 = 196,170 : x
  2. Step 2: Convert to fraction form
    316,989.78/437,490.75 = 196,170/x
  3. Step 3: Cross multiply
    316,989.78x = 437,490.75 × 196,170
  4. Step 4: Simplify right side
    316,989.78x = 85,822,560,427.50
  5. Step 5: Solve for x
    x = 85,822,560,427.50/316,989.78
  6. Step 6: Final answer
    x = 270,742.36

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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.