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Finding the Fourth Proportional to 406,608.96, 561,111.84 and 225,319.20

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Solution

The fourth proportional to 406,608.96, 561,111.84 and 225,319.20 is: 310,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,608.96 : 561,111.84 = 225,319.20 : x
  2. Step 2: Convert to fraction form
    406,608.96/561,111.84 = 225,319.20/x
  3. Step 3: Cross multiply
    406,608.96x = 561,111.84 × 225,319.20
  4. Step 4: Simplify right side
    406,608.96x = 126,429,270,899.33
  5. Step 5: Solve for x
    x = 126,429,270,899.33/406,608.96
  6. Step 6: Final answer
    x = 310,935.77

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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.