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Finding the Fourth Proportional to 557,286.23, 769,054.91 and 315,568.73

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Solution

The fourth proportional to 557,286.23, 769,054.91 and 315,568.73 is: 435,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,286.23 : 769,054.91 = 315,568.73 : x
  2. Step 2: Convert to fraction form
    557,286.23/769,054.91 = 315,568.73/x
  3. Step 3: Cross multiply
    557,286.23x = 769,054.91 × 315,568.73
  4. Step 4: Simplify right side
    557,286.23x = 242,689,678,192.61
  5. Step 5: Solve for x
    x = 242,689,678,192.61/557,286.23
  6. Step 6: Final answer
    x = 435,484.80

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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.