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Finding the Fourth Proportional to 331,796, 457,890 and 188,562.08

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Solution

The fourth proportional to 331,796, 457,890 and 188,562.08 is: 260,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,796 : 457,890 = 188,562.08 : x
  2. Step 2: Convert to fraction form
    331,796/457,890 = 188,562.08/x
  3. Step 3: Cross multiply
    331,796x = 457,890 × 188,562.08
  4. Step 4: Simplify right side
    331,796x = 86,340,690,811.20
  5. Step 5: Solve for x
    x = 86,340,690,811.20/331,796
  6. Step 6: Final answer
    x = 260,222.22

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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.