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Finding the Fourth Proportional to 280,940.58, 387,626.04 and 166,213.80

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Solution

The fourth proportional to 280,940.58, 387,626.04 and 166,213.80 is: 229,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.58 : 387,626.04 = 166,213.80 : x
  2. Step 2: Convert to fraction form
    280,940.58/387,626.04 = 166,213.80/x
  3. Step 3: Cross multiply
    280,940.58x = 387,626.04 × 166,213.80
  4. Step 4: Simplify right side
    280,940.58x = 64,428,797,087.35
  5. Step 5: Solve for x
    x = 64,428,797,087.35/280,940.58
  6. Step 6: Final answer
    x = 229,332.47

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1.5x scale

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.