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Finding the Fourth Proportional to 454,085.64, 681,128.64 and 187,553.24

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Solution

The fourth proportional to 454,085.64, 681,128.64 and 187,553.24 is: 281,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,085.64 : 681,128.64 = 187,553.24 : x
  2. Step 2: Convert to fraction form
    454,085.64/681,128.64 = 187,553.24/x
  3. Step 3: Cross multiply
    454,085.64x = 681,128.64 × 187,553.24
  4. Step 4: Simplify right side
    454,085.64x = 127,747,883,288.79
  5. Step 5: Solve for x
    x = 127,747,883,288.79/454,085.64
  6. Step 6: Final answer
    x = 281,329.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.