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Finding the Fourth Proportional to 285,747.78, 428,591.43 and 117,285.87

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Solution

The fourth proportional to 285,747.78, 428,591.43 and 117,285.87 is: 175,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,747.78 : 428,591.43 = 117,285.87 : x
  2. Step 2: Convert to fraction form
    285,747.78/428,591.43 = 117,285.87/x
  3. Step 3: Cross multiply
    285,747.78x = 428,591.43 × 117,285.87
  4. Step 4: Simplify right side
    285,747.78x = 50,267,718,742.09
  5. Step 5: Solve for x
    x = 50,267,718,742.09/285,747.78
  6. Step 6: Final answer
    x = 175,916.39

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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.