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Finding the Fourth Proportional to 471,896.34, 651,359.26 and 321,080.82

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Solution

The fourth proportional to 471,896.34, 651,359.26 and 321,080.82 is: 443,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,896.34 : 651,359.26 = 321,080.82 : x
  2. Step 2: Convert to fraction form
    471,896.34/651,359.26 = 321,080.82/x
  3. Step 3: Cross multiply
    471,896.34x = 651,359.26 × 321,080.82
  4. Step 4: Simplify right side
    471,896.34x = 209,138,965,315.39
  5. Step 5: Solve for x
    x = 209,138,965,315.39/471,896.34
  6. Step 6: Final answer
    x = 443,188.36

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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.