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Finding the Fourth Proportional to 513,143.74, 707,676.78 and 331,664.86

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Solution

The fourth proportional to 513,143.74, 707,676.78 and 331,664.86 is: 457,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,143.74 : 707,676.78 = 331,664.86 : x
  2. Step 2: Convert to fraction form
    513,143.74/707,676.78 = 331,664.86/x
  3. Step 3: Cross multiply
    513,143.74x = 707,676.78 × 331,664.86
  4. Step 4: Simplify right side
    513,143.74x = 234,711,520,163.95
  5. Step 5: Solve for x
    x = 234,711,520,163.95/513,143.74
  6. Step 6: Final answer
    x = 457,399.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.