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Finding the Fourth Proportional to 285,676.16, 428,170.25 and 105,618.02

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Solution

The fourth proportional to 285,676.16, 428,170.25 and 105,618.02 is: 158,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.16 : 428,170.25 = 105,618.02 : x
  2. Step 2: Convert to fraction form
    285,676.16/428,170.25 = 105,618.02/x
  3. Step 3: Cross multiply
    285,676.16x = 428,170.25 × 105,618.02
  4. Step 4: Simplify right side
    285,676.16x = 45,222,492,151.10
  5. Step 5: Solve for x
    x = 45,222,492,151.10/285,676.16
  6. Step 6: Final answer
    x = 158,299.85

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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.