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Finding the Fourth Proportional to 427,474.56, 641,359.20 and 190,980.48

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Solution

The fourth proportional to 427,474.56, 641,359.20 and 190,980.48 is: 286,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,474.56 : 641,359.20 = 190,980.48 : x
  2. Step 2: Convert to fraction form
    427,474.56/641,359.20 = 190,980.48/x
  3. Step 3: Cross multiply
    427,474.56x = 641,359.20 × 190,980.48
  4. Step 4: Simplify right side
    427,474.56x = 122,487,087,868.42
  5. Step 5: Solve for x
    x = 122,487,087,868.42/427,474.56
  6. Step 6: Final answer
    x = 286,536.56

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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.