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Finding the Fourth Proportional to 285,755.34, 428,650.80 and 75,393.48

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Solution

The fourth proportional to 285,755.34, 428,650.80 and 75,393.48 is: 113,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.34 : 428,650.80 = 75,393.48 : x
  2. Step 2: Convert to fraction form
    285,755.34/428,650.80 = 75,393.48/x
  3. Step 3: Cross multiply
    285,755.34x = 428,650.80 × 75,393.48
  4. Step 4: Simplify right side
    285,755.34x = 32,317,475,516.78
  5. Step 5: Solve for x
    x = 32,317,475,516.78/285,755.34
  6. Step 6: Final answer
    x = 113,094.91

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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.