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Finding the Fourth Proportional to 285,614.45, 428,335.32 and 85,881.82

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Solution

The fourth proportional to 285,614.45, 428,335.32 and 85,881.82 is: 128,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.45 : 428,335.32 = 85,881.82 : x
  2. Step 2: Convert to fraction form
    285,614.45/428,335.32 = 85,881.82/x
  3. Step 3: Cross multiply
    285,614.45x = 428,335.32 × 85,881.82
  4. Step 4: Simplify right side
    285,614.45x = 36,786,214,495.50
  5. Step 5: Solve for x
    x = 36,786,214,495.50/285,614.45
  6. Step 6: Final answer
    x = 128,796.76

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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.