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Finding the Fourth Proportional to 284,709.48, 391,765.86 and 276,052.20

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Solution

The fourth proportional to 284,709.48, 391,765.86 and 276,052.20 is: 379,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,709.48 : 391,765.86 = 276,052.20 : x
  2. Step 2: Convert to fraction form
    284,709.48/391,765.86 = 276,052.20/x
  3. Step 3: Cross multiply
    284,709.48x = 391,765.86 × 276,052.20
  4. Step 4: Simplify right side
    284,709.48x = 108,147,827,537.89
  5. Step 5: Solve for x
    x = 108,147,827,537.89/284,709.48
  6. Step 6: Final answer
    x = 379,853.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.