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Finding the Fourth Proportional to 406,689.89, 561,217.59 and 225,418.64

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Solution

The fourth proportional to 406,689.89, 561,217.59 and 225,418.64 is: 311,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,689.89 : 561,217.59 = 225,418.64 : x
  2. Step 2: Convert to fraction form
    406,689.89/561,217.59 = 225,418.64/x
  3. Step 3: Cross multiply
    406,689.89x = 561,217.59 × 225,418.64
  4. Step 4: Simplify right side
    406,689.89x = 126,508,903,075.79
  5. Step 5: Solve for x
    x = 126,508,903,075.79/406,689.89
  6. Step 6: Final answer
    x = 311,069.71

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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.