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Finding the Fourth Proportional to 245,459.96, 368,194.50 and 76,976.54

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Solution

The fourth proportional to 245,459.96, 368,194.50 and 76,976.54 is: 115,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,459.96 : 368,194.50 = 76,976.54 : x
  2. Step 2: Convert to fraction form
    245,459.96/368,194.50 = 76,976.54/x
  3. Step 3: Cross multiply
    245,459.96x = 368,194.50 × 76,976.54
  4. Step 4: Simplify right side
    245,459.96x = 28,342,338,657.03
  5. Step 5: Solve for x
    x = 28,342,338,657.03/245,459.96
  6. Step 6: Final answer
    x = 115,466.24

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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.