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Finding the Fourth Proportional to 590,214, 814,495.32 and 321,942

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Solution

The fourth proportional to 590,214, 814,495.32 and 321,942 is: 444,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,214 : 814,495.32 = 321,942 : x
  2. Step 2: Convert to fraction form
    590,214/814,495.32 = 321,942/x
  3. Step 3: Cross multiply
    590,214x = 814,495.32 × 321,942
  4. Step 4: Simplify right side
    590,214x = 262,220,252,311.44
  5. Step 5: Solve for x
    x = 262,220,252,311.44/590,214
  6. Step 6: Final answer
    x = 444,279.96

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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.