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Finding the Fourth Proportional to 406,674.75, 561,211.14 and 225,413.91

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Solution

The fourth proportional to 406,674.75, 561,211.14 and 225,413.91 is: 311,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,674.75 : 561,211.14 = 225,413.91 : x
  2. Step 2: Convert to fraction form
    406,674.75/561,211.14 = 225,413.91/x
  3. Step 3: Cross multiply
    406,674.75x = 561,211.14 × 225,413.91
  4. Step 4: Simplify right side
    406,674.75x = 126,504,797,402.96
  5. Step 5: Solve for x
    x = 126,504,797,402.96/406,674.75
  6. Step 6: Final answer
    x = 311,071.19

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Half scale
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Double scale
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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.