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Finding the Fourth Proportional to 331,711.60, 457,762.14 and 188,471.84

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Solution

The fourth proportional to 331,711.60, 457,762.14 and 188,471.84 is: 260,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,711.60 : 457,762.14 = 188,471.84 : x
  2. Step 2: Convert to fraction form
    331,711.60/457,762.14 = 188,471.84/x
  3. Step 3: Cross multiply
    331,711.60x = 457,762.14 × 188,471.84
  4. Step 4: Simplify right side
    331,711.60x = 86,275,272,808.14
  5. Step 5: Solve for x
    x = 86,275,272,808.14/331,711.60
  6. Step 6: Final answer
    x = 260,091.21

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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.