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Finding the Fourth Proportional to 280,604.49, 387,361.68 and 178,769.61

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Solution

The fourth proportional to 280,604.49, 387,361.68 and 178,769.61 is: 246,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,604.49 : 387,361.68 = 178,769.61 : x
  2. Step 2: Convert to fraction form
    280,604.49/387,361.68 = 178,769.61/x
  3. Step 3: Cross multiply
    280,604.49x = 387,361.68 × 178,769.61
  4. Step 4: Simplify right side
    280,604.49x = 69,248,496,462.54
  5. Step 5: Solve for x
    x = 69,248,496,462.54/280,604.49
  6. Step 6: Final answer
    x = 246,783.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.