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Finding the Fourth Proportional to 216,397, 324,591.18 and 98,046.28

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Solution

The fourth proportional to 216,397, 324,591.18 and 98,046.28 is: 147,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,397 : 324,591.18 = 98,046.28 : x
  2. Step 2: Convert to fraction form
    216,397/324,591.18 = 98,046.28/x
  3. Step 3: Cross multiply
    216,397x = 324,591.18 × 98,046.28
  4. Step 4: Simplify right side
    216,397x = 31,824,957,719.81
  5. Step 5: Solve for x
    x = 31,824,957,719.81/216,397
  6. Step 6: Final answer
    x = 147,067.46

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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.