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Finding the Fourth Proportional to 427,754.16, 641,728.80 and 227,969.28

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Solution

The fourth proportional to 427,754.16, 641,728.80 and 227,969.28 is: 342,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,754.16 : 641,728.80 = 227,969.28 : x
  2. Step 2: Convert to fraction form
    427,754.16/641,728.80 = 227,969.28/x
  3. Step 3: Cross multiply
    427,754.16x = 641,728.80 × 227,969.28
  4. Step 4: Simplify right side
    427,754.16x = 146,294,452,491.26
  5. Step 5: Solve for x
    x = 146,294,452,491.26/427,754.16
  6. Step 6: Final answer
    x = 342,005.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.