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Finding the Fourth Proportional to 360,162.72, 539,812.80 and 167,778

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Solution

The fourth proportional to 360,162.72, 539,812.80 and 167,778 is: 251,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,162.72 : 539,812.80 = 167,778 : x
  2. Step 2: Convert to fraction form
    360,162.72/539,812.80 = 167,778/x
  3. Step 3: Cross multiply
    360,162.72x = 539,812.80 × 167,778
  4. Step 4: Simplify right side
    360,162.72x = 90,568,711,958.40
  5. Step 5: Solve for x
    x = 90,568,711,958.40/360,162.72
  6. Step 6: Final answer
    x = 251,466.09

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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.