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Finding the Fourth Proportional to 285,735.59, 428,573.31 and 117,273.71

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Solution

The fourth proportional to 285,735.59, 428,573.31 and 117,273.71 is: 175,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,735.59 : 428,573.31 = 117,273.71 : x
  2. Step 2: Convert to fraction form
    285,735.59/428,573.31 = 117,273.71/x
  3. Step 3: Cross multiply
    285,735.59x = 428,573.31 × 117,273.71
  4. Step 4: Simplify right side
    285,735.59x = 50,260,382,070.68
  5. Step 5: Solve for x
    x = 50,260,382,070.68/285,735.59
  6. Step 6: Final answer
    x = 175,898.22

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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.