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Finding the Fourth Proportional to 622,164.96, 932,296.64 and 419,009.81

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Solution

The fourth proportional to 622,164.96, 932,296.64 and 419,009.81 is: 627,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,164.96 : 932,296.64 = 419,009.81 : x
  2. Step 2: Convert to fraction form
    622,164.96/932,296.64 = 419,009.81/x
  3. Step 3: Cross multiply
    622,164.96x = 932,296.64 × 419,009.81
  4. Step 4: Simplify right side
    622,164.96x = 390,641,431,233.51
  5. Step 5: Solve for x
    x = 390,641,431,233.51/622,164.96
  6. Step 6: Final answer
    x = 627,874.37

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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.