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Finding the Fourth Proportional to 287,678.21, 431,665.20 and 220,640.87

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Solution

The fourth proportional to 287,678.21, 431,665.20 and 220,640.87 is: 331,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,678.21 : 431,665.20 = 220,640.87 : x
  2. Step 2: Convert to fraction form
    287,678.21/431,665.20 = 220,640.87/x
  3. Step 3: Cross multiply
    287,678.21x = 431,665.20 × 220,640.87
  4. Step 4: Simplify right side
    287,678.21x = 95,242,985,276.72
  5. Step 5: Solve for x
    x = 95,242,985,276.72/287,678.21
  6. Step 6: Final answer
    x = 331,074.73

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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.