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Finding the Fourth Proportional to 331,658, 457,700.39 and 188,442.30

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Solution

The fourth proportional to 331,658, 457,700.39 and 188,442.30 is: 260,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,658 : 457,700.39 = 188,442.30 : x
  2. Step 2: Convert to fraction form
    331,658/457,700.39 = 188,442.30/x
  3. Step 3: Cross multiply
    331,658x = 457,700.39 × 188,442.30
  4. Step 4: Simplify right side
    331,658x = 86,250,114,202.50
  5. Step 5: Solve for x
    x = 86,250,114,202.50/331,658
  6. Step 6: Final answer
    x = 260,057.39

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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.