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Finding the Fourth Proportional to 331,798.60, 457,862.34 and 188,538.76

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Solution

The fourth proportional to 331,798.60, 457,862.34 and 188,538.76 is: 260,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,798.60 : 457,862.34 = 188,538.76 : x
  2. Step 2: Convert to fraction form
    331,798.60/457,862.34 = 188,538.76/x
  3. Step 3: Cross multiply
    331,798.60x = 457,862.34 × 188,538.76
  4. Step 4: Simplify right side
    331,798.60x = 86,324,797,834.30
  5. Step 5: Solve for x
    x = 86,324,797,834.30/331,798.60
  6. Step 6: Final answer
    x = 260,172.28

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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.