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Finding the Fourth Proportional to 285,676.36, 428,492.78 and 108,167.24

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Solution

The fourth proportional to 285,676.36, 428,492.78 and 108,167.24 is: 162,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.36 : 428,492.78 = 108,167.24 : x
  2. Step 2: Convert to fraction form
    285,676.36/428,492.78 = 108,167.24/x
  3. Step 3: Cross multiply
    285,676.36x = 428,492.78 × 108,167.24
  4. Step 4: Simplify right side
    285,676.36x = 46,348,881,372.53
  5. Step 5: Solve for x
    x = 46,348,881,372.53/285,676.36
  6. Step 6: Final answer
    x = 162,242.62

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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.