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Finding the Fourth Proportional to 406,855.48, 561,493.66 and 225,624.20

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Solution

The fourth proportional to 406,855.48, 561,493.66 and 225,624.20 is: 311,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,855.48 : 561,493.66 = 225,624.20 : x
  2. Step 2: Convert to fraction form
    406,855.48/561,493.66 = 225,624.20/x
  3. Step 3: Cross multiply
    406,855.48x = 561,493.66 × 225,624.20
  4. Step 4: Simplify right side
    406,855.48x = 126,686,557,842.57
  5. Step 5: Solve for x
    x = 126,686,557,842.57/406,855.48
  6. Step 6: Final answer
    x = 311,379.75

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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.