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Finding the Fourth Proportional to 406,682.70, 561,222.18 and 225,406.32

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Solution

The fourth proportional to 406,682.70, 561,222.18 and 225,406.32 is: 311,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,682.70 : 561,222.18 = 225,406.32 : x
  2. Step 2: Convert to fraction form
    406,682.70/561,222.18 = 225,406.32/x
  3. Step 3: Cross multiply
    406,682.70x = 561,222.18 × 225,406.32
  4. Step 4: Simplify right side
    406,682.70x = 126,503,026,296.18
  5. Step 5: Solve for x
    x = 126,503,026,296.18/406,682.70
  6. Step 6: Final answer
    x = 311,060.75

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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.