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Finding the Fourth Proportional to 340,074.28, 469,305.24 and 189,171.28

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Solution

The fourth proportional to 340,074.28, 469,305.24 and 189,171.28 is: 261,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,074.28 : 469,305.24 = 189,171.28 : x
  2. Step 2: Convert to fraction form
    340,074.28/469,305.24 = 189,171.28/x
  3. Step 3: Cross multiply
    340,074.28x = 469,305.24 × 189,171.28
  4. Step 4: Simplify right side
    340,074.28x = 88,779,072,961.51
  5. Step 5: Solve for x
    x = 88,779,072,961.51/340,074.28
  6. Step 6: Final answer
    x = 261,057.89

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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.