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Finding the Fourth Proportional to 342,867.33, 514,383.08 and 143,076.56

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Solution

The fourth proportional to 342,867.33, 514,383.08 and 143,076.56 is: 214,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,867.33 : 514,383.08 = 143,076.56 : x
  2. Step 2: Convert to fraction form
    342,867.33/514,383.08 = 143,076.56/x
  3. Step 3: Cross multiply
    342,867.33x = 514,383.08 × 143,076.56
  4. Step 4: Simplify right side
    342,867.33x = 73,596,158,321.31
  5. Step 5: Solve for x
    x = 73,596,158,321.31/342,867.33
  6. Step 6: Final answer
    x = 214,649.08

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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.