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Finding the Fourth Proportional to 377,874.64, 521,422.68 and 214,520.32

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Solution

The fourth proportional to 377,874.64, 521,422.68 and 214,520.32 is: 296,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,874.64 : 521,422.68 = 214,520.32 : x
  2. Step 2: Convert to fraction form
    377,874.64/521,422.68 = 214,520.32/x
  3. Step 3: Cross multiply
    377,874.64x = 521,422.68 × 214,520.32
  4. Step 4: Simplify right side
    377,874.64x = 111,855,760,168.86
  5. Step 5: Solve for x
    x = 111,855,760,168.86/377,874.64
  6. Step 6: Final answer
    x = 296,012.88

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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.