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Finding the Fourth Proportional to 642,804.22, 964,213.89 and 243,337.60

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Solution

The fourth proportional to 642,804.22, 964,213.89 and 243,337.60 is: 365,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,804.22 : 964,213.89 = 243,337.60 : x
  2. Step 2: Convert to fraction form
    642,804.22/964,213.89 = 243,337.60/x
  3. Step 3: Cross multiply
    642,804.22x = 964,213.89 × 243,337.60
  4. Step 4: Simplify right side
    642,804.22x = 234,629,493,879.26
  5. Step 5: Solve for x
    x = 234,629,493,879.26/642,804.22
  6. Step 6: Final answer
    x = 365,009.26

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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.