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Finding the Fourth Proportional to 342,555.89, 514,021.90 and 174,090.75

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Solution

The fourth proportional to 342,555.89, 514,021.90 and 174,090.75 is: 261,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,555.89 : 514,021.90 = 174,090.75 : x
  2. Step 2: Convert to fraction form
    342,555.89/514,021.90 = 174,090.75/x
  3. Step 3: Cross multiply
    342,555.89x = 514,021.90 × 174,090.75
  4. Step 4: Simplify right side
    342,555.89x = 89,486,458,942.41
  5. Step 5: Solve for x
    x = 89,486,458,942.41/342,555.89
  6. Step 6: Final answer
    x = 261,231.70

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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.