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Finding the Fourth Proportional to 285,513.32, 428,324.05 and 114,748.29

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Solution

The fourth proportional to 285,513.32, 428,324.05 and 114,748.29 is: 172,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,513.32 : 428,324.05 = 114,748.29 : x
  2. Step 2: Convert to fraction form
    285,513.32/428,324.05 = 114,748.29/x
  3. Step 3: Cross multiply
    285,513.32x = 428,324.05 × 114,748.29
  4. Step 4: Simplify right side
    285,513.32x = 49,149,452,446.81
  5. Step 5: Solve for x
    x = 49,149,452,446.81/285,513.32
  6. Step 6: Final answer
    x = 172,144.16

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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.