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Finding the Fourth Proportional to 285,982.71, 428,976.52 and 72,750.82

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Solution

The fourth proportional to 285,982.71, 428,976.52 and 72,750.82 is: 109,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982.71 : 428,976.52 = 72,750.82 : x
  2. Step 2: Convert to fraction form
    285,982.71/428,976.52 = 72,750.82/x
  3. Step 3: Cross multiply
    285,982.71x = 428,976.52 × 72,750.82
  4. Step 4: Simplify right side
    285,982.71x = 31,208,393,846.31
  5. Step 5: Solve for x
    x = 31,208,393,846.31/285,982.71
  6. Step 6: Final answer
    x = 109,126.85

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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.