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Finding the Fourth Proportional to 406,920.75, 561,557.39 and 225,640.32

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Solution

The fourth proportional to 406,920.75, 561,557.39 and 225,640.32 is: 311,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,920.75 : 561,557.39 = 225,640.32 : x
  2. Step 2: Convert to fraction form
    406,920.75/561,557.39 = 225,640.32/x
  3. Step 3: Cross multiply
    406,920.75x = 561,557.39 × 225,640.32
  4. Step 4: Simplify right side
    406,920.75x = 126,709,988,049.76
  5. Step 5: Solve for x
    x = 126,709,988,049.76/406,920.75
  6. Step 6: Final answer
    x = 311,387.38

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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.