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Finding the Fourth Proportional to 333,999.40, 501,387.90 and 201,029.80

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Solution

The fourth proportional to 333,999.40, 501,387.90 and 201,029.80 is: 301,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,999.40 : 501,387.90 = 201,029.80 : x
  2. Step 2: Convert to fraction form
    333,999.40/501,387.90 = 201,029.80/x
  3. Step 3: Cross multiply
    333,999.40x = 501,387.90 × 201,029.80
  4. Step 4: Simplify right side
    333,999.40x = 100,793,909,259.42
  5. Step 5: Solve for x
    x = 100,793,909,259.42/333,999.40
  6. Step 6: Final answer
    x = 301,778.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.