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Finding the Fourth Proportional to 285,734.59, 428,571.81 and 117,272.71

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Solution

The fourth proportional to 285,734.59, 428,571.81 and 117,272.71 is: 175,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,734.59 : 428,571.81 = 117,272.71 : x
  2. Step 2: Convert to fraction form
    285,734.59/428,571.81 = 117,272.71/x
  3. Step 3: Cross multiply
    285,734.59x = 428,571.81 × 117,272.71
  4. Step 4: Simplify right side
    285,734.59x = 50,259,778,124.02
  5. Step 5: Solve for x
    x = 50,259,778,124.02/285,734.59
  6. Step 6: Final answer
    x = 175,896.72

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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.