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Finding the Fourth Proportional to 406,509.10, 560,936.30 and 225,175.80

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Solution

The fourth proportional to 406,509.10, 560,936.30 and 225,175.80 is: 310,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.10 : 560,936.30 = 225,175.80 : x
  2. Step 2: Convert to fraction form
    406,509.10/560,936.30 = 225,175.80/x
  3. Step 3: Cross multiply
    406,509.10x = 560,936.30 × 225,175.80
  4. Step 4: Simplify right side
    406,509.10x = 126,309,280,101.54
  5. Step 5: Solve for x
    x = 126,309,280,101.54/406,509.10
  6. Step 6: Final answer
    x = 310,716.98

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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.