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Finding the Fourth Proportional to 289,122.81, 399,031.22 and 166,591.73

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Solution

The fourth proportional to 289,122.81, 399,031.22 and 166,591.73 is: 229,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,122.81 : 399,031.22 = 166,591.73 : x
  2. Step 2: Convert to fraction form
    289,122.81/399,031.22 = 166,591.73/x
  3. Step 3: Cross multiply
    289,122.81x = 399,031.22 × 166,591.73
  4. Step 4: Simplify right side
    289,122.81x = 66,475,301,263.81
  5. Step 5: Solve for x
    x = 66,475,301,263.81/289,122.81
  6. Step 6: Final answer
    x = 229,920.64

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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.