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Finding the Fourth Proportional to 295,518.38, 407,815.90 and 161,382.38

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Solution

The fourth proportional to 295,518.38, 407,815.90 and 161,382.38 is: 222,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,518.38 : 407,815.90 = 161,382.38 : x
  2. Step 2: Convert to fraction form
    295,518.38/407,815.90 = 161,382.38/x
  3. Step 3: Cross multiply
    295,518.38x = 407,815.90 × 161,382.38
  4. Step 4: Simplify right side
    295,518.38x = 65,814,298,101.31
  5. Step 5: Solve for x
    x = 65,814,298,101.31/295,518.38
  6. Step 6: Final answer
    x = 222,707.97

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1.5x scale

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.