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Finding the Fourth Proportional to 406,715.56, 561,252.98 and 225,444.44

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Solution

The fourth proportional to 406,715.56, 561,252.98 and 225,444.44 is: 311,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,715.56 : 561,252.98 = 225,444.44 : x
  2. Step 2: Convert to fraction form
    406,715.56/561,252.98 = 225,444.44/x
  3. Step 3: Cross multiply
    406,715.56x = 561,252.98 × 225,444.44
  4. Step 4: Simplify right side
    406,715.56x = 126,531,363,774.43
  5. Step 5: Solve for x
    x = 126,531,363,774.43/406,715.56
  6. Step 6: Final answer
    x = 311,105.29

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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.