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Finding the Fourth Proportional to 342,829.96, 514,327.10 and 143,039.31

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Solution

The fourth proportional to 342,829.96, 514,327.10 and 143,039.31 is: 214,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,829.96 : 514,327.10 = 143,039.31 : x
  2. Step 2: Convert to fraction form
    342,829.96/514,327.10 = 143,039.31/x
  3. Step 3: Cross multiply
    342,829.96x = 514,327.10 × 143,039.31
  4. Step 4: Simplify right side
    342,829.96x = 73,568,993,498.30
  5. Step 5: Solve for x
    x = 73,568,993,498.30/342,829.96
  6. Step 6: Final answer
    x = 214,593.24

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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.