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Finding the Fourth Proportional to 331,660.48, 457,693 and 188,428.40

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Solution

The fourth proportional to 331,660.48, 457,693 and 188,428.40 is: 260,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,660.48 : 457,693 = 188,428.40 : x
  2. Step 2: Convert to fraction form
    331,660.48/457,693 = 188,428.40/x
  3. Step 3: Cross multiply
    331,660.48x = 457,693 × 188,428.40
  4. Step 4: Simplify right side
    331,660.48x = 86,242,359,681.20
  5. Step 5: Solve for x
    x = 86,242,359,681.20/331,660.48
  6. Step 6: Final answer
    x = 260,032.07

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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.