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Finding the Fourth Proportional to 322,816, 484,301.82 and 101,200

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Solution

The fourth proportional to 322,816, 484,301.82 and 101,200 is: 151,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,816 : 484,301.82 = 101,200 : x
  2. Step 2: Convert to fraction form
    322,816/484,301.82 = 101,200/x
  3. Step 3: Cross multiply
    322,816x = 484,301.82 × 101,200
  4. Step 4: Simplify right side
    322,816x = 49,011,344,184
  5. Step 5: Solve for x
    x = 49,011,344,184/322,816
  6. Step 6: Final answer
    x = 151,824.40

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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.