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Finding the Fourth Proportional to 522,899.05, 784,258.10 and 138,650.44

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Solution

The fourth proportional to 522,899.05, 784,258.10 and 138,650.44 is: 207,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,899.05 : 784,258.10 = 138,650.44 : x
  2. Step 2: Convert to fraction form
    522,899.05/784,258.10 = 138,650.44/x
  3. Step 3: Cross multiply
    522,899.05x = 784,258.10 × 138,650.44
  4. Step 4: Simplify right side
    522,899.05x = 108,737,728,504.61
  5. Step 5: Solve for x
    x = 108,737,728,504.61/522,899.05
  6. Step 6: Final answer
    x = 207,951.67

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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.