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Finding the Fourth Proportional to 321,861.92, 443,878.80 and 201,014.24

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Solution

The fourth proportional to 321,861.92, 443,878.80 and 201,014.24 is: 277,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,861.92 : 443,878.80 = 201,014.24 : x
  2. Step 2: Convert to fraction form
    321,861.92/443,878.80 = 201,014.24/x
  3. Step 3: Cross multiply
    321,861.92x = 443,878.80 × 201,014.24
  4. Step 4: Simplify right side
    321,861.92x = 89,225,959,634.11
  5. Step 5: Solve for x
    x = 89,225,959,634.11/321,861.92
  6. Step 6: Final answer
    x = 277,218.13

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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.