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Finding the Fourth Proportional to 522,838, 784,257 and 128,854

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Solution

The fourth proportional to 522,838, 784,257 and 128,854 is: 193,281

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,838 : 784,257 = 128,854 : x
  2. Step 2: Convert to fraction form
    522,838/784,257 = 128,854/x
  3. Step 3: Cross multiply
    522,838x = 784,257 × 128,854
  4. Step 4: Simplify right side
    522,838x = 101,054,651,478
  5. Step 5: Solve for x
    x = 101,054,651,478/522,838
  6. Step 6: Final answer
    x = 193,281

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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.