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Finding the Fourth Proportional to 284,676.75, 392,819.90 and 157,335.03

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Solution

The fourth proportional to 284,676.75, 392,819.90 and 157,335.03 is: 217,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,676.75 : 392,819.90 = 157,335.03 : x
  2. Step 2: Convert to fraction form
    284,676.75/392,819.90 = 157,335.03/x
  3. Step 3: Cross multiply
    284,676.75x = 392,819.90 × 157,335.03
  4. Step 4: Simplify right side
    284,676.75x = 61,804,329,964.42
  5. Step 5: Solve for x
    x = 61,804,329,964.42/284,676.75
  6. Step 6: Final answer
    x = 217,103.54

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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.