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Finding the Fourth Proportional to 289,300.28, 399,263.46 and 166,795.88

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Solution

The fourth proportional to 289,300.28, 399,263.46 and 166,795.88 is: 230,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,300.28 : 399,263.46 = 166,795.88 : x
  2. Step 2: Convert to fraction form
    289,300.28/399,263.46 = 166,795.88/x
  3. Step 3: Cross multiply
    289,300.28x = 399,263.46 × 166,795.88
  4. Step 4: Simplify right side
    289,300.28x = 66,595,500,162.54
  5. Step 5: Solve for x
    x = 66,595,500,162.54/289,300.28
  6. Step 6: Final answer
    x = 230,195.08

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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.