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Finding the Fourth Proportional to 285,299.88, 428,029.77 and 114,641.43

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Solution

The fourth proportional to 285,299.88, 428,029.77 and 114,641.43 is: 171,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,299.88 : 428,029.77 = 114,641.43 : x
  2. Step 2: Convert to fraction form
    285,299.88/428,029.77 = 114,641.43/x
  3. Step 3: Cross multiply
    285,299.88x = 428,029.77 × 114,641.43
  4. Step 4: Simplify right side
    285,299.88x = 49,069,944,915.37
  5. Step 5: Solve for x
    x = 49,069,944,915.37/285,299.88
  6. Step 6: Final answer
    x = 171,994.27

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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.