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Finding the Fourth Proportional to 468,379.60, 646,190.94 and 307,324.06

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Solution

The fourth proportional to 468,379.60, 646,190.94 and 307,324.06 is: 423,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,379.60 : 646,190.94 = 307,324.06 : x
  2. Step 2: Convert to fraction form
    468,379.60/646,190.94 = 307,324.06/x
  3. Step 3: Cross multiply
    468,379.60x = 646,190.94 × 307,324.06
  4. Step 4: Simplify right side
    468,379.60x = 198,590,023,216.02
  5. Step 5: Solve for x
    x = 198,590,023,216.02/468,379.60
  6. Step 6: Final answer
    x = 423,993.75

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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.