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Finding the Fourth Proportional to 589,447.74, 813,437.89 and 321,175.74

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Solution

The fourth proportional to 589,447.74, 813,437.89 and 321,175.74 is: 443,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,447.74 : 813,437.89 = 321,175.74 : x
  2. Step 2: Convert to fraction form
    589,447.74/813,437.89 = 321,175.74/x
  3. Step 3: Cross multiply
    589,447.74x = 813,437.89 × 321,175.74
  4. Step 4: Simplify right side
    589,447.74x = 261,256,515,461.85
  5. Step 5: Solve for x
    x = 261,256,515,461.85/589,447.74
  6. Step 6: Final answer
    x = 443,222.52

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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.