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Finding the Fourth Proportional to 406,222.60, 561,657.30 and 355,777

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Solution

The fourth proportional to 406,222.60, 561,657.30 and 355,777 is: 491,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,222.60 : 561,657.30 = 355,777 : x
  2. Step 2: Convert to fraction form
    406,222.60/561,657.30 = 355,777/x
  3. Step 3: Cross multiply
    406,222.60x = 561,657.30 × 355,777
  4. Step 4: Simplify right side
    406,222.60x = 199,824,749,222.10
  5. Step 5: Solve for x
    x = 199,824,749,222.10/406,222.60
  6. Step 6: Final answer
    x = 491,909.48

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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.