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Finding the Fourth Proportional to 339,309.68, 468,268.46 and 188,407.76

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Solution

The fourth proportional to 339,309.68, 468,268.46 and 188,407.76 is: 260,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,309.68 : 468,268.46 = 188,407.76 : x
  2. Step 2: Convert to fraction form
    339,309.68/468,268.46 = 188,407.76/x
  3. Step 3: Cross multiply
    339,309.68x = 468,268.46 × 188,407.76
  4. Step 4: Simplify right side
    339,309.68x = 88,225,411,627.25
  5. Step 5: Solve for x
    x = 88,225,411,627.25/339,309.68
  6. Step 6: Final answer
    x = 260,014.43

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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.