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Finding the Fourth Proportional to 406,814.75, 561,404.33 and 225,526.22

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Solution

The fourth proportional to 406,814.75, 561,404.33 and 225,526.22 is: 311,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,814.75 : 561,404.33 = 225,526.22 : x
  2. Step 2: Convert to fraction form
    406,814.75/561,404.33 = 225,526.22/x
  3. Step 3: Cross multiply
    406,814.75x = 561,404.33 × 225,526.22
  4. Step 4: Simplify right side
    406,814.75x = 126,611,395,308.90
  5. Step 5: Solve for x
    x = 126,611,395,308.90/406,814.75
  6. Step 6: Final answer
    x = 311,226.17

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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.