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Finding the Fourth Proportional to 390,944.92, 586,418.82 and 166,273.24

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Solution

The fourth proportional to 390,944.92, 586,418.82 and 166,273.24 is: 249,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,944.92 : 586,418.82 = 166,273.24 : x
  2. Step 2: Convert to fraction form
    390,944.92/586,418.82 = 166,273.24/x
  3. Step 3: Cross multiply
    390,944.92x = 586,418.82 × 166,273.24
  4. Step 4: Simplify right side
    390,944.92x = 97,505,757,198.38
  5. Step 5: Solve for x
    x = 97,505,757,198.38/390,944.92
  6. Step 6: Final answer
    x = 249,410.47

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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.