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Finding the Fourth Proportional to 321,264.96, 443,348.29 and 178,027.40

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Solution

The fourth proportional to 321,264.96, 443,348.29 and 178,027.40 is: 245,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,264.96 : 443,348.29 = 178,027.40 : x
  2. Step 2: Convert to fraction form
    321,264.96/443,348.29 = 178,027.40/x
  3. Step 3: Cross multiply
    321,264.96x = 443,348.29 × 178,027.40
  4. Step 4: Simplify right side
    321,264.96x = 78,928,143,031.49
  5. Step 5: Solve for x
    x = 78,928,143,031.49/321,264.96
  6. Step 6: Final answer
    x = 245,679.27

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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.