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Finding the Fourth Proportional to 291,160.64, 401,769.12 and 163,880

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Solution

The fourth proportional to 291,160.64, 401,769.12 and 163,880 is: 226,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,160.64 : 401,769.12 = 163,880 : x
  2. Step 2: Convert to fraction form
    291,160.64/401,769.12 = 163,880/x
  3. Step 3: Cross multiply
    291,160.64x = 401,769.12 × 163,880
  4. Step 4: Simplify right side
    291,160.64x = 65,841,923,385.60
  5. Step 5: Solve for x
    x = 65,841,923,385.60/291,160.64
  6. Step 6: Final answer
    x = 226,136.07

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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.