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Finding the Fourth Proportional to 561,431.76, 842,163 and 187,441.36

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Solution

The fourth proportional to 561,431.76, 842,163 and 187,441.36 is: 281,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,431.76 : 842,163 = 187,441.36 : x
  2. Step 2: Convert to fraction form
    561,431.76/842,163 = 187,441.36/x
  3. Step 3: Cross multiply
    561,431.76x = 842,163 × 187,441.36
  4. Step 4: Simplify right side
    561,431.76x = 157,856,178,061.68
  5. Step 5: Solve for x
    x = 157,856,178,061.68/561,431.76
  6. Step 6: Final answer
    x = 281,167.17

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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.