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Finding the Fourth Proportional to 557,288.72, 769,015.80 and 327,855.12

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Solution

The fourth proportional to 557,288.72, 769,015.80 and 327,855.12 is: 452,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,288.72 : 769,015.80 = 327,855.12 : x
  2. Step 2: Convert to fraction form
    557,288.72/769,015.80 = 327,855.12/x
  3. Step 3: Cross multiply
    557,288.72x = 769,015.80 × 327,855.12
  4. Step 4: Simplify right side
    557,288.72x = 252,125,767,390.90
  5. Step 5: Solve for x
    x = 252,125,767,390.90/557,288.72
  6. Step 6: Final answer
    x = 452,414.98

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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.