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Finding the Fourth Proportional to 295,116.96, 407,260.56 and 160,980

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Solution

The fourth proportional to 295,116.96, 407,260.56 and 160,980 is: 222,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,116.96 : 407,260.56 = 160,980 : x
  2. Step 2: Convert to fraction form
    295,116.96/407,260.56 = 160,980/x
  3. Step 3: Cross multiply
    295,116.96x = 407,260.56 × 160,980
  4. Step 4: Simplify right side
    295,116.96x = 65,560,804,948.80
  5. Step 5: Solve for x
    x = 65,560,804,948.80/295,116.96
  6. Step 6: Final answer
    x = 222,151.94

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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.