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Finding the Fourth Proportional to 406,561.90, 561,054.87 and 225,285.57

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Solution

The fourth proportional to 406,561.90, 561,054.87 and 225,285.57 is: 310,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,561.90 : 561,054.87 = 225,285.57 : x
  2. Step 2: Convert to fraction form
    406,561.90/561,054.87 = 225,285.57/x
  3. Step 3: Cross multiply
    406,561.90x = 561,054.87 × 225,285.57
  4. Step 4: Simplify right side
    406,561.90x = 126,397,566,189.23
  5. Step 5: Solve for x
    x = 126,397,566,189.23/406,561.90
  6. Step 6: Final answer
    x = 310,893.78

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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.