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Finding the Fourth Proportional to 406,218.60, 561,651.78 and 355,773

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Solution

The fourth proportional to 406,218.60, 561,651.78 and 355,773 is: 491,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,218.60 : 561,651.78 = 355,773 : x
  2. Step 2: Convert to fraction form
    406,218.60/561,651.78 = 355,773/x
  3. Step 3: Cross multiply
    406,218.60x = 561,651.78 × 355,773
  4. Step 4: Simplify right side
    406,218.60x = 199,820,538,725.94
  5. Step 5: Solve for x
    x = 199,820,538,725.94/406,218.60
  6. Step 6: Final answer
    x = 491,903.96

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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.