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Finding the Fourth Proportional to 409,014.75, 613,342.31 and 219,418.86

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Solution

The fourth proportional to 409,014.75, 613,342.31 and 219,418.86 is: 329,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,014.75 : 613,342.31 = 219,418.86 : x
  2. Step 2: Convert to fraction form
    409,014.75/613,342.31 = 219,418.86/x
  3. Step 3: Cross multiply
    409,014.75x = 613,342.31 × 219,418.86
  4. Step 4: Simplify right side
    409,014.75x = 134,578,869,352.87
  5. Step 5: Solve for x
    x = 134,578,869,352.87/409,014.75
  6. Step 6: Final answer
    x = 329,031.82

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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.