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Finding the Fourth Proportional to 406,840.38, 561,240.27 and 353,049.90

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Solution

The fourth proportional to 406,840.38, 561,240.27 and 353,049.90 is: 487,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840.38 : 561,240.27 = 353,049.90 : x
  2. Step 2: Convert to fraction form
    406,840.38/561,240.27 = 353,049.90/x
  3. Step 3: Cross multiply
    406,840.38x = 561,240.27 × 353,049.90
  4. Step 4: Simplify right side
    406,840.38x = 198,145,821,199.47
  5. Step 5: Solve for x
    x = 198,145,821,199.47/406,840.38
  6. Step 6: Final answer
    x = 487,035.78

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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.