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Finding the Fourth Proportional to 285,809.63, 428,340.71 and 117,132.48

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Solution

The fourth proportional to 285,809.63, 428,340.71 and 117,132.48 is: 175,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,809.63 : 428,340.71 = 117,132.48 : x
  2. Step 2: Convert to fraction form
    285,809.63/428,340.71 = 117,132.48/x
  3. Step 3: Cross multiply
    285,809.63x = 428,340.71 × 117,132.48
  4. Step 4: Simplify right side
    285,809.63x = 50,172,609,940.09
  5. Step 5: Solve for x
    x = 50,172,609,940.09/285,809.63
  6. Step 6: Final answer
    x = 175,545.56

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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.