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Finding the Fourth Proportional to 289,033.54, 398,889.89 and 166,564.02

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Solution

The fourth proportional to 289,033.54, 398,889.89 and 166,564.02 is: 229,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,033.54 : 398,889.89 = 166,564.02 : x
  2. Step 2: Convert to fraction form
    289,033.54/398,889.89 = 166,564.02/x
  3. Step 3: Cross multiply
    289,033.54x = 398,889.89 × 166,564.02
  4. Step 4: Simplify right side
    289,033.54x = 66,440,703,615.76
  5. Step 5: Solve for x
    x = 66,440,703,615.76/289,033.54
  6. Step 6: Final answer
    x = 229,871.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.