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Finding the Fourth Proportional to 285,710.92, 428,759.94 and 117,261.64

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Solution

The fourth proportional to 285,710.92, 428,759.94 and 117,261.64 is: 175,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,710.92 : 428,759.94 = 117,261.64 : x
  2. Step 2: Convert to fraction form
    285,710.92/428,759.94 = 117,261.64/x
  3. Step 3: Cross multiply
    285,710.92x = 428,759.94 × 117,261.64
  4. Step 4: Simplify right side
    285,710.92x = 50,277,093,730.70
  5. Step 5: Solve for x
    x = 50,277,093,730.70/285,710.92
  6. Step 6: Final answer
    x = 175,971.90

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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.