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Finding the Fourth Proportional to 285,431.61, 428,196.90 and 95,910.48

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Solution

The fourth proportional to 285,431.61, 428,196.90 and 95,910.48 is: 143,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,431.61 : 428,196.90 = 95,910.48 : x
  2. Step 2: Convert to fraction form
    285,431.61/428,196.90 = 95,910.48/x
  3. Step 3: Cross multiply
    285,431.61x = 428,196.90 × 95,910.48
  4. Step 4: Simplify right side
    285,431.61x = 41,068,570,213.51
  5. Step 5: Solve for x
    x = 41,068,570,213.51/285,431.61
  6. Step 6: Final answer
    x = 143,882.35

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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.