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Finding the Fourth Proportional to 280,624.80, 387,389.64 and 178,789.92

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Solution

The fourth proportional to 280,624.80, 387,389.64 and 178,789.92 is: 246,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624.80 : 387,389.64 = 178,789.92 : x
  2. Step 2: Convert to fraction form
    280,624.80/387,389.64 = 178,789.92/x
  3. Step 3: Cross multiply
    280,624.80x = 387,389.64 × 178,789.92
  4. Step 4: Simplify right side
    280,624.80x = 69,261,362,744.43
  5. Step 5: Solve for x
    x = 69,261,362,744.43/280,624.80
  6. Step 6: Final answer
    x = 246,811.27

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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.