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Finding the Fourth Proportional to 386,714.46, 533,657.91 and 214,622.43

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Solution

The fourth proportional to 386,714.46, 533,657.91 and 214,622.43 is: 296,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,714.46 : 533,657.91 = 214,622.43 : x
  2. Step 2: Convert to fraction form
    386,714.46/533,657.91 = 214,622.43/x
  3. Step 3: Cross multiply
    386,714.46x = 533,657.91 × 214,622.43
  4. Step 4: Simplify right side
    386,714.46x = 114,534,957,432.92
  5. Step 5: Solve for x
    x = 114,534,957,432.92/386,714.46
  6. Step 6: Final answer
    x = 296,174.49

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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.