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Finding the Fourth Proportional to 589,956, 814,139.28 and 321,684.64

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Solution

The fourth proportional to 589,956, 814,139.28 and 321,684.64 is: 443,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,956 : 814,139.28 = 321,684.64 : x
  2. Step 2: Convert to fraction form
    589,956/814,139.28 = 321,684.64/x
  3. Step 3: Cross multiply
    589,956x = 814,139.28 × 321,684.64
  4. Step 4: Simplify right side
    589,956x = 261,896,101,196.66
  5. Step 5: Solve for x
    x = 261,896,101,196.66/589,956
  6. Step 6: Final answer
    x = 443,924.80

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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.