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Finding the Fourth Proportional to 295,279.23, 407,485.22 and 161,143.23

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Solution

The fourth proportional to 295,279.23, 407,485.22 and 161,143.23 is: 222,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,279.23 : 407,485.22 = 161,143.23 : x
  2. Step 2: Convert to fraction form
    295,279.23/407,485.22 = 161,143.23/x
  3. Step 3: Cross multiply
    295,279.23x = 407,485.22 × 161,143.23
  4. Step 4: Simplify right side
    295,279.23x = 65,663,484,528.06
  5. Step 5: Solve for x
    x = 65,663,484,528.06/295,279.23
  6. Step 6: Final answer
    x = 222,377.59

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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.