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Finding the Fourth Proportional to 445,436.96, 667,838.12 and 208,650.47

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Solution

The fourth proportional to 445,436.96, 667,838.12 and 208,650.47 is: 312,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,436.96 : 667,838.12 = 208,650.47 : x
  2. Step 2: Convert to fraction form
    445,436.96/667,838.12 = 208,650.47/x
  3. Step 3: Cross multiply
    445,436.96x = 667,838.12 × 208,650.47
  4. Step 4: Simplify right side
    445,436.96x = 139,344,733,239.47
  5. Step 5: Solve for x
    x = 139,344,733,239.47/445,436.96
  6. Step 6: Final answer
    x = 312,827.06

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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.