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Finding the Fourth Proportional to 512,462.88, 706,992.84 and 321,406.56

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Solution

The fourth proportional to 512,462.88, 706,992.84 and 321,406.56 is: 443,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,462.88 : 706,992.84 = 321,406.56 : x
  2. Step 2: Convert to fraction form
    512,462.88/706,992.84 = 321,406.56/x
  3. Step 3: Cross multiply
    512,462.88x = 706,992.84 × 321,406.56
  4. Step 4: Simplify right side
    512,462.88x = 227,232,136,649.03
  5. Step 5: Solve for x
    x = 227,232,136,649.03/512,462.88
  6. Step 6: Final answer
    x = 443,411.89

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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.