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Finding the Fourth Proportional to 296,610.08, 409,319.82 and 160,640.90

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Solution

The fourth proportional to 296,610.08, 409,319.82 and 160,640.90 is: 221,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,610.08 : 409,319.82 = 160,640.90 : x
  2. Step 2: Convert to fraction form
    296,610.08/409,319.82 = 160,640.90/x
  3. Step 3: Cross multiply
    296,610.08x = 409,319.82 × 160,640.90
  4. Step 4: Simplify right side
    296,610.08x = 65,753,504,272.64
  5. Step 5: Solve for x
    x = 65,753,504,272.64/296,610.08
  6. Step 6: Final answer
    x = 221,683.31

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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.