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Finding the Fourth Proportional to 285,771.78, 428,627.43 and 117,309.87

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Solution

The fourth proportional to 285,771.78, 428,627.43 and 117,309.87 is: 175,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771.78 : 428,627.43 = 117,309.87 : x
  2. Step 2: Convert to fraction form
    285,771.78/428,627.43 = 117,309.87/x
  3. Step 3: Cross multiply
    285,771.78x = 428,627.43 × 117,309.87
  4. Step 4: Simplify right side
    285,771.78x = 50,282,228,091.73
  5. Step 5: Solve for x
    x = 50,282,228,091.73/285,771.78
  6. Step 6: Final answer
    x = 175,952.39

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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.