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Finding the Fourth Proportional to 512,536.32, 707,112.72 and 321,480

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Solution

The fourth proportional to 512,536.32, 707,112.72 and 321,480 is: 443,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,536.32 : 707,112.72 = 321,480 : x
  2. Step 2: Convert to fraction form
    512,536.32/707,112.72 = 321,480/x
  3. Step 3: Cross multiply
    512,536.32x = 707,112.72 × 321,480
  4. Step 4: Simplify right side
    512,536.32x = 227,322,597,225.60
  5. Step 5: Solve for x
    x = 227,322,597,225.60/512,536.32
  6. Step 6: Final answer
    x = 443,524.86

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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.