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Finding the Fourth Proportional to 561,880.82, 842,645.54 and 187,816.34

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Solution

The fourth proportional to 561,880.82, 842,645.54 and 187,816.34 is: 281,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,880.82 : 842,645.54 = 187,816.34 : x
  2. Step 2: Convert to fraction form
    561,880.82/842,645.54 = 187,816.34/x
  3. Step 3: Cross multiply
    561,880.82x = 842,645.54 × 187,816.34
  4. Step 4: Simplify right side
    561,880.82x = 158,262,601,240.12
  5. Step 5: Solve for x
    x = 158,262,601,240.12/561,880.82
  6. Step 6: Final answer
    x = 281,665.78

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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.