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Finding the Fourth Proportional to 408,026.46, 611,789.13 and 141,672.54

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Solution

The fourth proportional to 408,026.46, 611,789.13 and 141,672.54 is: 212,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,026.46 : 611,789.13 = 141,672.54 : x
  2. Step 2: Convert to fraction form
    408,026.46/611,789.13 = 141,672.54/x
  3. Step 3: Cross multiply
    408,026.46x = 611,789.13 × 141,672.54
  4. Step 4: Simplify right side
    408,026.46x = 86,673,719,991.49
  5. Step 5: Solve for x
    x = 86,673,719,991.49/408,026.46
  6. Step 6: Final answer
    x = 212,421.81

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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.