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Finding the Fourth Proportional to 403,602, 605,403.75 and 378,939.81

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Solution

The fourth proportional to 403,602, 605,403.75 and 378,939.81 is: 568,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,602 : 605,403.75 = 378,939.81 : x
  2. Step 2: Convert to fraction form
    403,602/605,403.75 = 378,939.81/x
  3. Step 3: Cross multiply
    403,602x = 605,403.75 × 378,939.81
  4. Step 4: Simplify right side
    403,602x = 229,411,581,998.29
  5. Step 5: Solve for x
    x = 229,411,581,998.29/403,602
  6. Step 6: Final answer
    x = 568,410.42

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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.