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Finding the Fourth Proportional to 269,090.15, 403,495.08 and 100,471.80

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Solution

The fourth proportional to 269,090.15, 403,495.08 and 100,471.80 is: 150,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,090.15 : 403,495.08 = 100,471.80 : x
  2. Step 2: Convert to fraction form
    269,090.15/403,495.08 = 100,471.80/x
  3. Step 3: Cross multiply
    269,090.15x = 403,495.08 × 100,471.80
  4. Step 4: Simplify right side
    269,090.15x = 40,539,877,736.30
  5. Step 5: Solve for x
    x = 40,539,877,736.30/269,090.15
  6. Step 6: Final answer
    x = 150,655.38

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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.