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Finding the Fourth Proportional to 387,469.44, 534,714.27 and 213,047.01

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Solution

The fourth proportional to 387,469.44, 534,714.27 and 213,047.01 is: 294,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,469.44 : 534,714.27 = 213,047.01 : x
  2. Step 2: Convert to fraction form
    387,469.44/534,714.27 = 213,047.01/x
  3. Step 3: Cross multiply
    387,469.44x = 534,714.27 × 213,047.01
  4. Step 4: Simplify right side
    387,469.44x = 113,919,276,427.83
  5. Step 5: Solve for x
    x = 113,919,276,427.83/387,469.44
  6. Step 6: Final answer
    x = 294,008.42

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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.