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Finding the Fourth Proportional to 561,884.82, 842,651.54 and 187,820.34

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Solution

The fourth proportional to 561,884.82, 842,651.54 and 187,820.34 is: 281,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,884.82 : 842,651.54 = 187,820.34 : x
  2. Step 2: Convert to fraction form
    561,884.82/842,651.54 = 187,820.34/x
  3. Step 3: Cross multiply
    561,884.82x = 842,651.54 × 187,820.34
  4. Step 4: Simplify right side
    561,884.82x = 158,267,098,744.32
  5. Step 5: Solve for x
    x = 158,267,098,744.32/561,884.82
  6. Step 6: Final answer
    x = 281,671.78

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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.