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Finding the Fourth Proportional to 280,704.80, 387,363.36 and 177,394.21

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Solution

The fourth proportional to 280,704.80, 387,363.36 and 177,394.21 is: 244,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,704.80 : 387,363.36 = 177,394.21 : x
  2. Step 2: Convert to fraction form
    280,704.80/387,363.36 = 177,394.21/x
  3. Step 3: Cross multiply
    280,704.80x = 387,363.36 × 177,394.21
  4. Step 4: Simplify right side
    280,704.80x = 68,716,018,450.74
  5. Step 5: Solve for x
    x = 68,716,018,450.74/280,704.80
  6. Step 6: Final answer
    x = 244,798.16

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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.