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Finding the Fourth Proportional to 295,856, 408,281.28 and 161,720

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Solution

The fourth proportional to 295,856, 408,281.28 and 161,720 is: 223,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,856 : 408,281.28 = 161,720 : x
  2. Step 2: Convert to fraction form
    295,856/408,281.28 = 161,720/x
  3. Step 3: Cross multiply
    295,856x = 408,281.28 × 161,720
  4. Step 4: Simplify right side
    295,856x = 66,027,248,601.60
  5. Step 5: Solve for x
    x = 66,027,248,601.60/295,856
  6. Step 6: Final answer
    x = 223,173.60

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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.