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Finding the Fourth Proportional to 387,518.76, 580,736.82 and 187,786.14

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Solution

The fourth proportional to 387,518.76, 580,736.82 and 187,786.14 is: 281,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,518.76 : 580,736.82 = 187,786.14 : x
  2. Step 2: Convert to fraction form
    387,518.76/580,736.82 = 187,786.14/x
  3. Step 3: Cross multiply
    387,518.76x = 580,736.82 × 187,786.14
  4. Step 4: Simplify right side
    387,518.76x = 109,054,325,783.68
  5. Step 5: Solve for x
    x = 109,054,325,783.68/387,518.76
  6. Step 6: Final answer
    x = 281,416.89

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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.