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Finding the Fourth Proportional to 321,712.56, 443,983.28 and 185,771.07

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Solution

The fourth proportional to 321,712.56, 443,983.28 and 185,771.07 is: 256,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.56 : 443,983.28 = 185,771.07 : x
  2. Step 2: Convert to fraction form
    321,712.56/443,983.28 = 185,771.07/x
  3. Step 3: Cross multiply
    321,712.56x = 443,983.28 × 185,771.07
  4. Step 4: Simplify right side
    321,712.56x = 82,479,248,058.85
  5. Step 5: Solve for x
    x = 82,479,248,058.85/321,712.56
  6. Step 6: Final answer
    x = 256,375.59

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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.