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Finding the Fourth Proportional to 406,223.10, 561,657.99 and 355,777.50

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Solution

The fourth proportional to 406,223.10, 561,657.99 and 355,777.50 is: 491,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,223.10 : 561,657.99 = 355,777.50 : x
  2. Step 2: Convert to fraction form
    406,223.10/561,657.99 = 355,777.50/x
  3. Step 3: Cross multiply
    406,223.10x = 561,657.99 × 355,777.50
  4. Step 4: Simplify right side
    406,223.10x = 199,825,275,537.23
  5. Step 5: Solve for x
    x = 199,825,275,537.23/406,223.10
  6. Step 6: Final answer
    x = 491,910.17

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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.