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Finding the Fourth Proportional to 557,537.60, 769,467.84 and 331,184

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Solution

The fourth proportional to 557,537.60, 769,467.84 and 331,184 is: 457,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,537.60 : 769,467.84 = 331,184 : x
  2. Step 2: Convert to fraction form
    557,537.60/769,467.84 = 331,184/x
  3. Step 3: Cross multiply
    557,537.60x = 769,467.84 × 331,184
  4. Step 4: Simplify right side
    557,537.60x = 254,835,437,122.56
  5. Step 5: Solve for x
    x = 254,835,437,122.56/557,537.60
  6. Step 6: Final answer
    x = 457,073.10

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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.