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Finding the Fourth Proportional to 358,949.80, 538,424.70 and 309,086.20

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Solution

The fourth proportional to 358,949.80, 538,424.70 and 309,086.20 is: 463,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,949.80 : 538,424.70 = 309,086.20 : x
  2. Step 2: Convert to fraction form
    358,949.80/538,424.70 = 309,086.20/x
  3. Step 3: Cross multiply
    358,949.80x = 538,424.70 × 309,086.20
  4. Step 4: Simplify right side
    358,949.80x = 166,419,644,509.14
  5. Step 5: Solve for x
    x = 166,419,644,509.14/358,949.80
  6. Step 6: Final answer
    x = 463,629.30

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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.