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Finding the Fourth Proportional to 306,346.56, 422,779.68 and 179,036.16

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Solution

The fourth proportional to 306,346.56, 422,779.68 and 179,036.16 is: 247,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,346.56 : 422,779.68 = 179,036.16 : x
  2. Step 2: Convert to fraction form
    306,346.56/422,779.68 = 179,036.16/x
  3. Step 3: Cross multiply
    306,346.56x = 422,779.68 × 179,036.16
  4. Step 4: Simplify right side
    306,346.56x = 75,692,850,433.23
  5. Step 5: Solve for x
    x = 75,692,850,433.23/306,346.56
  6. Step 6: Final answer
    x = 247,082.42

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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.