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Finding the Fourth Proportional to 406,815, 561,404.67 and 225,526.47

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Solution

The fourth proportional to 406,815, 561,404.67 and 225,526.47 is: 311,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,815 : 561,404.67 = 225,526.47 : x
  2. Step 2: Convert to fraction form
    406,815/561,404.67 = 225,526.47/x
  3. Step 3: Cross multiply
    406,815x = 561,404.67 × 225,526.47
  4. Step 4: Simplify right side
    406,815x = 126,611,613,466.62
  5. Step 5: Solve for x
    x = 126,611,613,466.62/406,815
  6. Step 6: Final answer
    x = 311,226.51

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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.