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Finding the Fourth Proportional to 331,710, 457,759.92 and 188,470.20

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Solution

The fourth proportional to 331,710, 457,759.92 and 188,470.20 is: 260,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,710 : 457,759.92 = 188,470.20 : x
  2. Step 2: Convert to fraction form
    331,710/457,759.92 = 188,470.20/x
  3. Step 3: Cross multiply
    331,710x = 457,759.92 × 188,470.20
  4. Step 4: Simplify right side
    331,710x = 86,274,103,674.38
  5. Step 5: Solve for x
    x = 86,274,103,674.38/331,710
  6. Step 6: Final answer
    x = 260,088.94

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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.