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Finding the Fourth Proportional to 454,718.27, 681,889.74 and 155,223

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Solution

The fourth proportional to 454,718.27, 681,889.74 and 155,223 is: 232,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,718.27 : 681,889.74 = 155,223 : x
  2. Step 2: Convert to fraction form
    454,718.27/681,889.74 = 155,223/x
  3. Step 3: Cross multiply
    454,718.27x = 681,889.74 × 155,223
  4. Step 4: Simplify right side
    454,718.27x = 105,844,971,112.02
  5. Step 5: Solve for x
    x = 105,844,971,112.02/454,718.27
  6. Step 6: Final answer
    x = 232,770.44

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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.