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Finding the Fourth Proportional to 474,032, 654,164.52 and 272,828

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Solution

The fourth proportional to 474,032, 654,164.52 and 272,828 is: 376,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,032 : 654,164.52 = 272,828 : x
  2. Step 2: Convert to fraction form
    474,032/654,164.52 = 272,828/x
  3. Step 3: Cross multiply
    474,032x = 654,164.52 × 272,828
  4. Step 4: Simplify right side
    474,032x = 178,474,397,662.56
  5. Step 5: Solve for x
    x = 178,474,397,662.56/474,032
  6. Step 6: Final answer
    x = 376,502.85

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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.