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Finding the Fourth Proportional to 557,872.72, 769,865.34 and 303,223.24

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Solution

The fourth proportional to 557,872.72, 769,865.34 and 303,223.24 is: 418,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,872.72 : 769,865.34 = 303,223.24 : x
  2. Step 2: Convert to fraction form
    557,872.72/769,865.34 = 303,223.24/x
  3. Step 3: Cross multiply
    557,872.72x = 769,865.34 × 303,223.24
  4. Step 4: Simplify right side
    557,872.72x = 233,441,062,758.50
  5. Step 5: Solve for x
    x = 233,441,062,758.50/557,872.72
  6. Step 6: Final answer
    x = 418,448.61

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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.