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Finding the Fourth Proportional to 522,818, 784,227 and 128,834

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Solution

The fourth proportional to 522,818, 784,227 and 128,834 is: 193,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,818 : 784,227 = 128,834 : x
  2. Step 2: Convert to fraction form
    522,818/784,227 = 128,834/x
  3. Step 3: Cross multiply
    522,818x = 784,227 × 128,834
  4. Step 4: Simplify right side
    522,818x = 101,035,101,318
  5. Step 5: Solve for x
    x = 101,035,101,318/522,818
  6. Step 6: Final answer
    x = 193,251

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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.