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Finding the Fourth Proportional to 561,618, 842,427 and 167,634

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Solution

The fourth proportional to 561,618, 842,427 and 167,634 is: 251,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,618 : 842,427 = 167,634 : x
  2. Step 2: Convert to fraction form
    561,618/842,427 = 167,634/x
  3. Step 3: Cross multiply
    561,618x = 842,427 × 167,634
  4. Step 4: Simplify right side
    561,618x = 141,219,407,718
  5. Step 5: Solve for x
    x = 141,219,407,718/561,618
  6. Step 6: Final answer
    x = 251,451

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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.