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Finding the Fourth Proportional to 522,816, 784,224 and 128,832

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Solution

The fourth proportional to 522,816, 784,224 and 128,832 is: 193,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,816 : 784,224 = 128,832 : x
  2. Step 2: Convert to fraction form
    522,816/784,224 = 128,832/x
  3. Step 3: Cross multiply
    522,816x = 784,224 × 128,832
  4. Step 4: Simplify right side
    522,816x = 101,033,146,368
  5. Step 5: Solve for x
    x = 101,033,146,368/522,816
  6. Step 6: Final answer
    x = 193,248

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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.