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Finding the Fourth Proportional to 321,031.50, 443,022.54 and 185,064.66

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Solution

The fourth proportional to 321,031.50, 443,022.54 and 185,064.66 is: 255,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,031.50 : 443,022.54 = 185,064.66 : x
  2. Step 2: Convert to fraction form
    321,031.50/443,022.54 = 185,064.66/x
  3. Step 3: Cross multiply
    321,031.50x = 443,022.54 × 185,064.66
  4. Step 4: Simplify right side
    321,031.50x = 81,987,815,737.44
  5. Step 5: Solve for x
    x = 81,987,815,737.44/321,031.50
  6. Step 6: Final answer
    x = 255,388.69

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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.