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Finding the Fourth Proportional to 231,788.80, 347,942.40 and 179,430.40

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Solution

The fourth proportional to 231,788.80, 347,942.40 and 179,430.40 is: 269,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,788.80 : 347,942.40 = 179,430.40 : x
  2. Step 2: Convert to fraction form
    231,788.80/347,942.40 = 179,430.40/x
  3. Step 3: Cross multiply
    231,788.80x = 347,942.40 × 179,430.40
  4. Step 4: Simplify right side
    231,788.80x = 62,431,444,008.96
  5. Step 5: Solve for x
    x = 62,431,444,008.96/231,788.80
  6. Step 6: Final answer
    x = 269,346.25

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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.