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Finding the Fourth Proportional to 406,405.77, 560,844.45 and 225,120.48

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Solution

The fourth proportional to 406,405.77, 560,844.45 and 225,120.48 is: 310,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,405.77 : 560,844.45 = 225,120.48 : x
  2. Step 2: Convert to fraction form
    406,405.77/560,844.45 = 225,120.48/x
  3. Step 3: Cross multiply
    406,405.77x = 560,844.45 × 225,120.48
  4. Step 4: Simplify right side
    406,405.77x = 126,257,571,789.34
  5. Step 5: Solve for x
    x = 126,257,571,789.34/406,405.77
  6. Step 6: Final answer
    x = 310,668.75

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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.