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Finding the Fourth Proportional to 358,620.78, 538,015.41 and 200,958.06

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Solution

The fourth proportional to 358,620.78, 538,015.41 and 200,958.06 is: 301,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,620.78 : 538,015.41 = 200,958.06 : x
  2. Step 2: Convert to fraction form
    358,620.78/538,015.41 = 200,958.06/x
  3. Step 3: Cross multiply
    358,620.78x = 538,015.41 × 200,958.06
  4. Step 4: Simplify right side
    358,620.78x = 108,118,533,043.71
  5. Step 5: Solve for x
    x = 108,118,533,043.71/358,620.78
  6. Step 6: Final answer
    x = 301,484.30

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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.