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Finding the Fourth Proportional to 280,930.98, 387,790.18 and 184,141.07

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Solution

The fourth proportional to 280,930.98, 387,790.18 and 184,141.07 is: 254,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,930.98 : 387,790.18 = 184,141.07 : x
  2. Step 2: Convert to fraction form
    280,930.98/387,790.18 = 184,141.07/x
  3. Step 3: Cross multiply
    280,930.98x = 387,790.18 × 184,141.07
  4. Step 4: Simplify right side
    280,930.98x = 71,408,098,680.69
  5. Step 5: Solve for x
    x = 71,408,098,680.69/280,930.98
  6. Step 6: Final answer
    x = 254,183.78

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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.