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Finding the Fourth Proportional to 442,186.64, 662,712.96 and 321,938.96

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Solution

The fourth proportional to 442,186.64, 662,712.96 and 321,938.96 is: 482,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,186.64 : 662,712.96 = 321,938.96 : x
  2. Step 2: Convert to fraction form
    442,186.64/662,712.96 = 321,938.96/x
  3. Step 3: Cross multiply
    442,186.64x = 662,712.96 × 321,938.96
  4. Step 4: Simplify right side
    442,186.64x = 213,353,121,120.92
  5. Step 5: Solve for x
    x = 213,353,121,120.92/442,186.64
  6. Step 6: Final answer
    x = 482,495.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.